Journal of Ocean Engineering and Science最新文献

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Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in (3+1)-dimensions with gas bubbles in hydrodynamics and fluids 流体力学与流体中含气泡的(3+1)维广义非线性波动方程的特定波廓和闭型孤子解
IF 7.1 1区 工程技术
Journal of Ocean Engineering and Science Pub Date : 2023-01-01 DOI: 10.1016/j.joes.2021.12.003
Sachin Kumar , Ihsanullah Hamid , M.A. Abdou
{"title":"Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in (3+1)-dimensions with gas bubbles in hydrodynamics and fluids","authors":"Sachin Kumar ,&nbsp;Ihsanullah Hamid ,&nbsp;M.A. Abdou","doi":"10.1016/j.joes.2021.12.003","DOIUrl":"10.1016/j.joes.2021.12.003","url":null,"abstract":"<div><p>Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific applications, and marine engineering. The generalized exponential rational function (GERF) technique is used in this article to seek several closed-form wave solutions and the evolving dynamics of different wave profiles to the generalized nonlinear wave equation in (3+1) dimensions, which explains several more nonlinear phenomena in liquids, including gas bubbles. A large number of closed-form wave solutions are generated, including trigonometric function solutions, hyperbolic trigonometric function solutions, and exponential rational functional solutions. In the dynamics of distinct solitary waves, a variety of soliton solutions are obtained, including single soliton, multi-wave structure soliton, kink-type soliton, combo singular soliton, and singularity-form wave profiles. These determined solutions have never previously been published. The dynamical wave structures of some analytical solutions are graphically demonstrated using three-dimensional graphics by providing suitable values to free parameters. This technique can also be used to obtain the soliton solutions of other well-known equations in engineering physics, fluid dynamics, and other fields of nonlinear sciences.</p></div>","PeriodicalId":48514,"journal":{"name":"Journal of Ocean Engineering and Science","volume":"8 1","pages":"Pages 91-102"},"PeriodicalIF":7.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47326738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
A robust computational approach for Zakharov-Kuznetsov equations of ion-acoustic waves in a magnetized plasma via the Shehu transform 通过Shehu变换求解磁化等离子体中离子声波的Zakharov-Kuznetsov方程的鲁棒计算方法
IF 7.1 1区 工程技术
Journal of Ocean Engineering and Science Pub Date : 2023-01-01 DOI: 10.1016/j.joes.2021.11.006
Parthkumar P. Sartanpara, Ramakanta Meher
{"title":"A robust computational approach for Zakharov-Kuznetsov equations of ion-acoustic waves in a magnetized plasma via the Shehu transform","authors":"Parthkumar P. Sartanpara,&nbsp;Ramakanta Meher","doi":"10.1016/j.joes.2021.11.006","DOIUrl":"10.1016/j.joes.2021.11.006","url":null,"abstract":"<div><p>The application of the q-homotopy analysis Shehu transform method (q-HAShTM) to discover the estimated solution of fractional Zakharov-Kuznetsov equations is investigated in this study. In the presence of a uniform magnetic field, the Zakharov-Kuznetsov equations regulate the behaviour of nonlinear acoustic waves in a plasma containing cold ions and hot isothermal electrons. The q-HAShTM is a stable analytical method that combines homotopy analysis and the Shehu transform. This q-homotopy investigation Shehu transform is a constructive method that leads to the Zakharov-Kuznetsov equations, which regulate the propagation of nonlinear ion-acoustic waves in a plasma. It is a more semi-analytical method for adjusting and controlling the convergence region of the series solution and overcoming some of the homotopy analysis method’s limitations.</p></div>","PeriodicalId":48514,"journal":{"name":"Journal of Ocean Engineering and Science","volume":"8 1","pages":"Pages 79-90"},"PeriodicalIF":7.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44610609","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
On the dynamics of nonlinear propagation and interaction of the modified KP solitons in multicomponent complex plasmas 修正KP孤子在多组分复杂等离子体中的非线性传播动力学与相互作用
IF 7.1 1区 工程技术
Journal of Ocean Engineering and Science Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.10.005
Muhammad Shohaib , W. Masood , R. Jahangir , M. Siddiq , Sadah A. Alkhateeb , S.A. El-Tantawy
{"title":"On the dynamics of nonlinear propagation and interaction of the modified KP solitons in multicomponent complex plasmas","authors":"Muhammad Shohaib ,&nbsp;W. Masood ,&nbsp;R. Jahangir ,&nbsp;M. Siddiq ,&nbsp;Sadah A. Alkhateeb ,&nbsp;S.A. El-Tantawy","doi":"10.1016/j.joes.2021.10.005","DOIUrl":"10.1016/j.joes.2021.10.005","url":null,"abstract":"<div><p>Dust-acoustic waves (DAWs) are analyzed in the small amplitude limit in a collisionless unmagnetized dusty plasma whose constituents are inertial dust grains, massless ions expressed by the generalized <span><math><mrow><mo>(</mo><mi>r</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></math></span> distribution and inertialess Maxwellian electrons using the fluid theory of plasmas. The modified Kadomtsev-Petviashvili (mKP) equation is derived at a critical plasma condition for which the quadratic nonlinearity vanishes. The propagation of single soliton and interaction of two solitons are analyzed for the mKP equation in the context of plasma physics by employing Hirota bilinear formalism. The effects of the flatness parameter <span><math><mi>r</mi></math></span> and tail parameter <span><math><mi>q</mi></math></span> of the ions on the frequency of the DAWs are studied and the comparison with Maxwellian and kappa distributions is drawn. Using the plasma parameters corresponding to the Saturn’s E-ring, the range of electric field amplitude for dust-acoustic solitary waves (DASWs) for different ion distributions is calculated and is shown to agree very well with the Cassini Wideband Receiver (WBR) observations. The interaction time of two DASWs for non-Maxwellian ion distributions is estimated and shown to be fastest for the <span><math><mrow><mo>(</mo><mi>r</mi><mo>,</mo><mi>q</mi><mo>)</mo></mrow></math></span> distributed ions. The interesting feature of the interaction between compressive solitons with their rarefactive counterparts is also discussed in detail.</p></div>","PeriodicalId":48514,"journal":{"name":"Journal of Ocean Engineering and Science","volume":"7 6","pages":"Pages 555-564"},"PeriodicalIF":7.1,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468013321001091/pdfft?md5=2e3854cc7732ac989d773c5542581f0f&pid=1-s2.0-S2468013321001091-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48951585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 16
Durability evaluation of GFRP rebars in harsh alkaline environment using optimized tree-based random forest model 基于优化树木随机森林模型的GFRP钢筋在恶劣碱性环境下耐久性评价
IF 7.1 1区 工程技术
Journal of Ocean Engineering and Science Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.10.012
Mudassir Iqbal , Daxu Zhang , Fazal E. Jalal
{"title":"Durability evaluation of GFRP rebars in harsh alkaline environment using optimized tree-based random forest model","authors":"Mudassir Iqbal ,&nbsp;Daxu Zhang ,&nbsp;Fazal E. Jalal","doi":"10.1016/j.joes.2021.10.012","DOIUrl":"10.1016/j.joes.2021.10.012","url":null,"abstract":"<div><p>GFRP bars reinforced in submerged or moist seawater and ocean concrete is subjected to highly alkaline conditions. While investigating the durability of GFRP bars in alkaline environment, the effect of surrounding temperature and conditioning duration on tensile strength retention (TSR) of GFRP bars is well investigated with laboratory aging of GFRP bars. However, the role of variable bar size and volume fraction of fiber have been poorly investigated. Additionally, various structural codes recommend the use of an additional environmental reduction factor to accurately reflect the long-term performance of GFRP bars in harsh environments. This study presents the development of Random Forest (RF) regression model to predict the TSR of laboratory conditioned bars in alkaline environment based on a reliable database comprising 772 tested specimens. RF model was optimized, trained, and validated using variety of statistical checks available in the literature. The developed RF model was used for the sensitivity and parametric analysis. Moreover, the formulated RF model was used for studying the long-term performance of GFRP rebars in the alkaline concrete environment. The sensitivity analysis exhibited that temperature and pH are among the most influential attributes in TSR, followed by volume fraction of fibers, duration of conditioning, and diameter of the bars, respectively. The bars with larger diameter and high-volume fraction of fibers are less susceptible to degradation in contrast to the small diameter bars and relatively low fiber's volume fraction. Also, the long-term performance revealed that the existing recommendations by various codes regarding environmental reduction factors are conservative and therefore needs revision accordingly.</p></div>","PeriodicalId":48514,"journal":{"name":"Journal of Ocean Engineering and Science","volume":"7 6","pages":"Pages 596-606"},"PeriodicalIF":7.1,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468013321001273/pdfft?md5=f21d1a5e529afa2ef3fd2b09bbab4382&pid=1-s2.0-S2468013321001273-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43563110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 29
Precontrol of short-period motion for a Tension Leg Platform 张力腿平台短周期运动预控制
IF 7.1 1区 工程技术
Journal of Ocean Engineering and Science Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2022.11.003
Hao Wu , Yan Lin , Yongxi Wu
{"title":"Precontrol of short-period motion for a Tension Leg Platform","authors":"Hao Wu ,&nbsp;Yan Lin ,&nbsp;Yongxi Wu","doi":"10.1016/j.joes.2022.11.003","DOIUrl":"10.1016/j.joes.2022.11.003","url":null,"abstract":"<div><p>The Tension Leg Platform (TLP) is a hybrid, compliant platform designed to sustain springing and ringing responses that are correlated to short-period motion. Since the period of short-period motion is within the wave energy concentration region, TLPs may experience sensitive short-period motion, such as resonance and green water, that usually cause serious damage to TLPs. In this study, a precontrol methodology is presented as a solution to prevent TLP-sensitive short-period motion. By applying the precontrol methodology, the parameters of TLP can be predetermined, allowing TLP motion performance to meet the requirements of short-period motion before sensitive motions actually occur. For example, the damping coefficient should be less than 4.3, the tendons’ stiffness should be larger than 0.91 × 10<sup>8</sup>, and the dimensionless draft should be less than 0.665. The development of a precontrol methodology is based on a solid theoretical foundation. First, a series of simple and high-fidelity numerical models are proposed to simulate the natural period of roll, natural period of heave, and green water height. Second, a constraint regime is generated based on the numerical models and the sensitive motion range of short-period motion. The constraint regime is divided into two parts: the control range (corresponding to sensitive short-period motion) and the feasible range (the complementary set of control ranges in the whole parameter constraint domain). Finally, TLP parameters are derived from the calculated feasible range. The precontrol methodology goes beyond the conventional approach of real-time control by changing the control from a remedial action to a preventive action.</p></div>","PeriodicalId":48514,"journal":{"name":"Journal of Ocean Engineering and Science","volume":"9 3","pages":"Pages 264-277"},"PeriodicalIF":7.1,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468013322002625/pdfft?md5=34aa81b4729baa6ace342128ade634c9&pid=1-s2.0-S2468013322002625-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42161366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Tsunami wave propagation model: A fractional approach 海啸波传播模型:分式方法
IF 7.1 1区 工程技术
Journal of Ocean Engineering and Science Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.10.004
Priti Tandel , Hardik Patel , Trushit Patel
{"title":"Tsunami wave propagation model: A fractional approach","authors":"Priti Tandel ,&nbsp;Hardik Patel ,&nbsp;Trushit Patel","doi":"10.1016/j.joes.2021.10.004","DOIUrl":"10.1016/j.joes.2021.10.004","url":null,"abstract":"<div><p>This paper presents a fractional approach to study the mathematical model of tsunami wave propagation along a coastline of an ocean. Fractional Reduced Differential Transform Method (FRDTM) is used to analyze this model. The present model has been studied on the shallow-water assumption. It is represented by a time-fractional coupled system of non-linear partial differential equations. Solutions to the proposed model for different coastal slopes and ocean depths have been obtained. Effects of coast slope and sea depth variations on tsunami wave velocity and wave amplification have been demonstrated at different time levels and different orders <span><math><mi>α</mi></math></span>. The obtained results are compared with Elzaki Adomian Decomposition Method (EADM) to validate the proposed method for an order <span><math><mrow><mi>α</mi><mo>=</mo><mn>1</mn></mrow></math></span>.</p></div>","PeriodicalId":48514,"journal":{"name":"Journal of Ocean Engineering and Science","volume":"7 6","pages":"Pages 509-520"},"PeriodicalIF":7.1,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468013321001078/pdfft?md5=c347ad0bc986686e2142115f8f09abb0&pid=1-s2.0-S2468013321001078-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43886140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 13
Study of narrow waterways congestion based on automatic identification system (AIS) data: A case study of Houston Ship Channel 基于自动识别系统(AIS)数据的狭窄航道拥堵研究——以休斯顿航道为例
IF 7.1 1区 工程技术
Journal of Ocean Engineering and Science Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.10.010
Masood Jafari Kang , Sepideh Zohoori , Maryam Hamidi , Xing Wu
{"title":"Study of narrow waterways congestion based on automatic identification system (AIS) data: A case study of Houston Ship Channel","authors":"Masood Jafari Kang ,&nbsp;Sepideh Zohoori ,&nbsp;Maryam Hamidi ,&nbsp;Xing Wu","doi":"10.1016/j.joes.2021.10.010","DOIUrl":"10.1016/j.joes.2021.10.010","url":null,"abstract":"<div><p>Using automatic identification system (AIS) data, this article first has extended the definition of three widely used roadway congestion indices to maritime transportation systems (MTS), traffic speed index (TSI), traffic rate index (TRI), and dwell time index (DTI). Next, a methodology is developed to measure the indices based on AIS data, considering various factors, including path geometry, time of day, and the type and size of vessels, and finally the method has been applied to the AIS data of the Houston Ship Channel (HSC) to evaluate the applicability in real cases. The results show that although average TSI and TRI cannot represent waterway congestion, the real-time values (rather than the average) at the micro level can help finding location, time, and severity of traffic congestion. Besides, while TSI and TRI have shortcomings, both average and real-time dwell time index (DTI) can quantify traffic congestion and highlight severity in different waterway segments for different types of vessels. When congestion happens at some narrow waterways, vessels need to wait at sea buoy or docks, thus dwell time index (DTI) can quantify traffic congestion better than in-transit indices such as travel speed, TSI. According to HSC DTI, most tankers experience long waiting times at the sea buoy and Galveston Bay, while cargo vessels experience delays at Bayport and Barbour's Cut terminals. This paper helps the decision-makers quantify congestion in different sections of a waterway and provides measures to compare congestion for national competing projects at different waterways.</p></div>","PeriodicalId":48514,"journal":{"name":"Journal of Ocean Engineering and Science","volume":"7 6","pages":"Pages 578-595"},"PeriodicalIF":7.1,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S246801332100125X/pdfft?md5=69e5ad0238d26b5173aa29fe5d7b1d26&pid=1-s2.0-S246801332100125X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47189090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Linear and quadratic damping coefficients of a single module of a very large floating structure over variable bathymetry: Physical and numerical free-decay experiments 一个非常大的浮动结构在可变水深上的单个模块的线性和二次阻尼系数:物理和数值自由衰减实验
IF 7.1 1区 工程技术
Journal of Ocean Engineering and Science Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.10.011
Yiting Wang , Ziying Tang , Lei Wang , Xuefeng Wang
{"title":"Linear and quadratic damping coefficients of a single module of a very large floating structure over variable bathymetry: Physical and numerical free-decay experiments","authors":"Yiting Wang ,&nbsp;Ziying Tang ,&nbsp;Lei Wang ,&nbsp;Xuefeng Wang","doi":"10.1016/j.joes.2021.10.011","DOIUrl":"10.1016/j.joes.2021.10.011","url":null,"abstract":"<div><p>The linearity assumption is widely used when acquiring the hydrodynamic coefficients of a floating structure. However, the linear damping is frequently underestimated, especially for the natural frequency. To investigate the sloping seafloor effects on the damping terms of a single module of a semi-submersible Very Large Floating Structure (VLFS), this paper revisits the conventional formulation and further proposes the direct integration method for obtaining the linear and quadratic damping coefficients from free-decay tests. Numerical free-decay simulations of the single module over variable bathymetry are carried out by the CFD numerical tank. Corresponding model tests are also implemented to verify and validate against the numerical solutions. The effects of the sloping seafloor, as well as the water depth, on the hydrodynamic coefficients are investigated based on the validated CFD modeling. Both numerical and experimental results indicate that the acquisition of the linear and quadratic damping coefficients is sensitive to the data-processing and identification approaches. For the case studied in present paper, the identification errors introduced by the conventional method are 1.5<span><math><mo>%</mo></math></span> while they are 0.5<span><math><mo>%</mo></math></span> using the direct integration method. The quadratic damping coefficient for heave mode decreases about 10.4<span><math><mo>%</mo></math></span> when the sloping angle increases from 0 to 6 deg.</p></div>","PeriodicalId":48514,"journal":{"name":"Journal of Ocean Engineering and Science","volume":"7 6","pages":"Pages 607-618"},"PeriodicalIF":7.1,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468013321001261/pdfft?md5=5a88385bf6997c02d5115ed873b1ebad&pid=1-s2.0-S2468013321001261-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45126547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
The phase shift analysis of the colliding dissipative KdV solitons 碰撞耗散KdV孤子的相移分析
IF 7.1 1区 工程技术
Journal of Ocean Engineering and Science Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.09.021
Wedad Albalawi , S.A. El-Tantawy , Sadah A. Alkhateeb
{"title":"The phase shift analysis of the colliding dissipative KdV solitons","authors":"Wedad Albalawi ,&nbsp;S.A. El-Tantawy ,&nbsp;Sadah A. Alkhateeb","doi":"10.1016/j.joes.2021.09.021","DOIUrl":"10.1016/j.joes.2021.09.021","url":null,"abstract":"<div><p>In this work, the head-on collisions of the non-stationary dissipative soliton in ultracold neutral plasmas (UNPs) are investigated. The extended Poincare-Lighthill-Kuo (PLK) approach is adopted for reducing the fluid equations of the UNPs to two-counterpropagating damped Korteweg-de Vries (dKdV) equations. The dKdV equation is not an integrable Hamiltonian system, i.e., does not have an exact solution. Thus, one of the main goal of this paper is to find a new general approximate analytical solution to the dKdV equation for investigating the mechanism of the propagation and interaction of the non-stationary dissipative solitons. The residual error is estimated for checking the accuracy of the new obtained solution. The approximate analytical soliton solutions are adopted for deriving the temporal phase shifts after the collision. The impact of physical parameters on the nonstationary dissipative soliton profile and the temporal phase shifts is discussed. The obtained results will contribute to understand the mechanism of propagation and interaction of many nonlinear phenomena in different nonlinear mediums such as ocean, sea, optical fiber, plasma physics, etc.</p></div>","PeriodicalId":48514,"journal":{"name":"Journal of Ocean Engineering and Science","volume":"7 6","pages":"Pages 521-527"},"PeriodicalIF":7.1,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468013321001030/pdfft?md5=4a457cac9c72e42d6e2724abed5751bd&pid=1-s2.0-S2468013321001030-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43798222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
A variety of novel closed‐form soliton solutions to the family of Boussinesq‐like equations with different types 不同类型类Boussinesq方程族的各种新颖闭形孤子解
IF 7.1 1区 工程技术
Journal of Ocean Engineering and Science Pub Date : 2022-12-01 DOI: 10.1016/j.joes.2021.10.007
Dipankar Kumar , Gour Chandra Paul , Aly R. Seadawy , M.T. Darvishi
{"title":"A variety of novel closed‐form soliton solutions to the family of Boussinesq‐like equations with different types","authors":"Dipankar Kumar ,&nbsp;Gour Chandra Paul ,&nbsp;Aly R. Seadawy ,&nbsp;M.T. Darvishi","doi":"10.1016/j.joes.2021.10.007","DOIUrl":"10.1016/j.joes.2021.10.007","url":null,"abstract":"<div><p>This paper deals with the closed-form solutions to the family of Boussinesq-like equations with the effect of spatio-temporal dispersion. The sine-Gordon expansion and the hyperbolic function approaches are efficiently applied to the family of Boussinesq-like equations to explore novel solitary, kink, anti-kink, combo, and singular-periodic wave solutions. The attained solutions are expressed by the trigonometric and hyperbolic functions including <span><math><mi>tan</mi></math></span>, <span><math><mi>sec</mi></math></span>, <span><math><mi>cot</mi></math></span>, <span><math><mi>csc</mi></math></span>, <span><math><mi>tanh</mi></math></span>, <span><math><mi>sech</mi></math></span>, <span><math><mi>coth</mi></math></span>, <span><math><mi>csch</mi></math></span>, and of their combination. In addition, the mentioned two approaches are applied to the aforesaid models in the sense of Atangana conformable derivative or Beta derivative to attain new wave solutions. Three-dimensional and two-dimensional graphs of some of the obtained novel solutions satisfying the corresponding equations of interest are provided to understand the underlying mechanisms of the stated family. For the bright wave solutions in terms of Atangana’s conformable derivative, the amplitudes of the bright wave gradually decrease, but the smoothness increases when the fractional parameters <span><math><mi>α</mi></math></span> and <span><math><mi>β</mi></math></span> increase. On the other hand, the periodicities of periodic waves increase. The attained new wave solutions can motivate applied scientists for engineering their ideas to an optimal level and they can be used for the validation of numerical simulation results in the propagation of waves in shallow water and other nonlinear cases. The performed approaches are found to be simple and efficient enough to estimate the solutions attained in the study and can be used to solve various classes of nonlinear partial differential equations arising in mathematical physics and engineering.</p></div>","PeriodicalId":48514,"journal":{"name":"Journal of Ocean Engineering and Science","volume":"7 6","pages":"Pages 543-554"},"PeriodicalIF":7.1,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2468013321001108/pdfft?md5=4bff97fcb88e0dd013bf27cf39a2d164&pid=1-s2.0-S2468013321001108-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49120457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
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