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Numerical analysis of MHD radiative bioconvective hybrid nanofluid in a Darcy–Brinkman–Forchheimer porous medium over a stretching surface Darcy-Brinkman-Forchheimer多孔介质中MHD辐射生物对流混合纳米流体的数值分析
IF 2.1 4区 物理与天体物理
Pramana Pub Date : 2025-08-20 DOI: 10.1007/s12043-025-02987-4
Sandip Chowdhury, Pentyala Srinivasa Rao
{"title":"Numerical analysis of MHD radiative bioconvective hybrid nanofluid in a Darcy–Brinkman–Forchheimer porous medium over a stretching surface","authors":"Sandip Chowdhury,&nbsp;Pentyala Srinivasa Rao","doi":"10.1007/s12043-025-02987-4","DOIUrl":"10.1007/s12043-025-02987-4","url":null,"abstract":"<div><p>This study examines the bioconvective transport of magnetohydrodynamic (MHD) silver (Ag)/titanium dioxide (<span>(hbox {TiO}_2)</span>) hybrid nanofluid including oxytactic micro-organisms over a stretching sheet, using heat radiation in a Darcy–Brinkman–Forchheimer (DBF) porous medium to forecast fluid dynamics. Through the use of a suitable similarity transformation, the governing partial differential equations (PDEs) are transformed into coupled nonlinear ordinary differential equations (ODEs). The resultant ODEs are numerically solved by transforming the boundary value problem into a simplified initial value problem using BVP4C and the shooting method, with specified parameters. The Forchheimer number and porosity parameter adversely affect the velocity field. Skin friction is reduced by 84%. 711% for thermal slip parameter <span>(B_2)</span> and 97.531% for magnetic parameter <i>M</i> addition of 1% Ag<span>( +)</span> <span>(hbox {TiO}_2)</span>. The Sherwood number of oxygen concentration is considerably influenced by the nanofluid volume fraction <span>(phi _1 (mathrm Ag/water))</span> and the hybrid nanofluid volume fraction <span>(phi _2 (mathrm Ag+TiO_2/water))</span>. The bioconvection Peclet number significantly influences the Sherwood number of micro-organisms.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144868874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Resonant Y-shape soliton, X-shape soliton, breather wave and abundant travelling wave solutions to the generalised (3+1)-dimensional B-type Kadomtsev–Petviashvili equation 广义(3+1)维b型Kadomtsev-Petviashvili方程的共振y形孤子、x形孤子、呼吸波和丰富行波解
IF 2.1 4区 物理与天体物理
Pramana Pub Date : 2025-08-18 DOI: 10.1007/s12043-025-02949-w
Chuan Du, Kang-Jia Wang, Jin-Fei Guo, Yi-Chen Bai, Chang Liu
{"title":"Resonant Y-shape soliton, X-shape soliton, breather wave and abundant travelling wave solutions to the generalised (3+1)-dimensional B-type Kadomtsev–Petviashvili equation","authors":"Chuan Du,&nbsp;Kang-Jia Wang,&nbsp;Jin-Fei Guo,&nbsp;Yi-Chen Bai,&nbsp;Chang Liu","doi":"10.1007/s12043-025-02949-w","DOIUrl":"10.1007/s12043-025-02949-w","url":null,"abstract":"<div><p>This exploration aims to extract some new exact solutions of the (3+1)-dimensional B-type Kadomtsev–Petviashvili equation (BKPE) that plays a significant role in fluid dynamics. Based on the <i>N-</i>soliton solutions extracted by the Hirota bilinear method, the <i>Y</i>-shape and <i>X</i>-shape soliton solutions and the breather wave solutions are derived by assigning resonant conditions and conjugate conditions, respectively. Furthermore, three powerful tools, namely the Bernoulli sub-equation function method, Wang’s direct mapping method-II and Kudryashov method, are employed to explore the diverse travelling wave solutions, which includes the kink solitary wave, anti-kink solitary wave, periodic wave and singular wave solutions. The wave structures of the attained solutions are displayed as diagrams using Maple. As we all know, the outcomes presented in the study are all brand new and have not been reported in other work, which can enable us to better understand the dynamic behaviours of the considered equation.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12043-025-02949-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effect of electromagnetic wave propagation direction on decay rates 电磁波传播方向对衰减率的影响
IF 2.1 4区 物理与天体物理
Pramana Pub Date : 2025-08-18 DOI: 10.1007/s12043-025-02995-4
S Mouslih, M Jakha, S El Asri, Y Mekaoui, A Aknouch, S Taj, B Manaut
{"title":"Effect of electromagnetic wave propagation direction on decay rates","authors":"S Mouslih,&nbsp;M Jakha,&nbsp;S El Asri,&nbsp;Y Mekaoui,&nbsp;A Aknouch,&nbsp;S Taj,&nbsp;B Manaut","doi":"10.1007/s12043-025-02995-4","DOIUrl":"10.1007/s12043-025-02995-4","url":null,"abstract":"<div><p>Choosing a specific direction for the propagation of laser field waves often presents a challenge for researchers studying laser-assisted ultrafast quantum processes. They are faced with the question of why exactly a particular direction and not another. This paper resolves the discussion in this issue regarding decay processes. Therefore, we study theoretically the pion decay process in the presence of a circularly polarized laser field propagating along an arbitrary general direction. Using the first Born approximation and the Dirac-Volkov states for charged particles, we derive an analytic expression for the decay rate. Our results show that, when the pion is at rest, the direction of the laser field has no significant effect on the decay rate, justifying the common practice of choosing a convenient direction in previous studies. However, when the pion is in motion, the decay rate is affected by the laser wave vector’s orientation relative to the pion’s momentum. The effect is more pronounced when the wave vector is collinear with the pion’s motion than when it is perpendicular. This study generalizes previous results found for a field with a wave vector along the <i>z</i>-axis in [<i>Phys. Rev. D</i> <b>102</b>, 073006 (2020)] and provides a theoretical foundation for future investigations into laser-assisted decay processes involving moving particles. The influence of the laser field on the total decay rate has also been analyzed and discussed.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effect of Hall current and radiation on the blood flow conveying gold nanoparticles in a cone–disk system 霍尔电流和辐射对锥盘系统中输送金纳米颗粒血流的影响
IF 2.1 4区 物理与天体物理
Pramana Pub Date : 2025-08-18 DOI: 10.1007/s12043-025-02980-x
Aarti Manglesh, Rajeev Kumar, Tejinder Kumar
{"title":"Effect of Hall current and radiation on the blood flow conveying gold nanoparticles in a cone–disk system","authors":"Aarti Manglesh,&nbsp;Rajeev Kumar,&nbsp;Tejinder Kumar","doi":"10.1007/s12043-025-02980-x","DOIUrl":"10.1007/s12043-025-02980-x","url":null,"abstract":"<div><p>In the cone–disk system, the apex of the cone is in contact with the disk, making a conical region, in which the fluid flow is analysed. This type of flow problem has a variety of biomedical application including DNA sequencing, biochemical detection, cell analysis, conical diffusers, viscosimeters, etc. The effect of Hall current and radiation on the flow of blood containing gold nanoparticles is theoretically analysed in a cone–disk system for a single-phase nanofluid model. Four configurations of the cone–disk system, including stationary disk and rotating cone, stationary cone and rotating disk, co-rotation of disk and cone and counter-rotation of disk and cone, are studied for the gap angle <span>(frac{pi }{4})</span>. The non-linear partial differential equations describing three-dimensional axisymmetric flow in a cone–disk system are converted into nonlinear ordinary differential equations using the one-parameter Lie group approach. The self-similar model is then solved numerically using the bvp5c package of MATLAB and shown graphically to analyse the influence of various parameters involved in the study for all four configurations of the cone–disk system. It is observed that rotation of the disk/cone gives rise to high centrifugal forces resulting in an outward radial flow. Further, it is noted that Hall current enhances the velocity and radiation parameter reduces the temperature.\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Performance analysis of the radiative Reiner–Philippoff hybrid nanofluid flow over a stretching(/)shrinking sheet under the effect of suction 吸力作用下辐射Reiner-Philippoff混合纳米流体在拉伸(/)收缩片上流动的性能分析
IF 2.1 4区 物理与天体物理
Pramana Pub Date : 2025-08-13 DOI: 10.1007/s12043-025-02952-1
Ashish Mishra
{"title":"Performance analysis of the radiative Reiner–Philippoff hybrid nanofluid flow over a stretching(/)shrinking sheet under the effect of suction","authors":"Ashish Mishra","doi":"10.1007/s12043-025-02952-1","DOIUrl":"10.1007/s12043-025-02952-1","url":null,"abstract":"<div><p>The primary aim of the present paper is to analyse the Reiner–Philippoff hybrid nanofluid <b>(</b>HNF<b>)</b> flow over a stretching<span>(/)</span>shrinking sheet under the influence of thermal radiation and suction. A set of partial differential equations is used to describe the model, which is then reduced to non-dimensional ordinary differential equations through similarity transformations and solved computationally with the help of the bvp4c function. A graphical investigation examines the effects of various parameters, including the magnetic parameter, suction, Philippoff fluid parameter, Eckert number, radiation parameter, porosity parameter and Bingham number on velocity, temperature, skin friction and the local Nusselt number. The results show that as the Bingham number, Philippoff fluid parameter and stretching<span>(/)</span>shrinking parameter increase, the velocity profiles exhibit an upward trend. In addition, increasing the magnetic, porosity and suction parameters leads to higher absolute values of the skin friction coefficient. It is also noted that the rate of heat transfer increases up to 14.11% with an increase in the radiation parameter. The novel findings of this study provide a deeper understanding of HNF behaviour, which can facilitate the optimisation of heat transfer systems in industrial and engineering applications.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144832152","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamical analysis and exact soliton solutions of the truncated M-fractional Gardner–Kawahara model 截断m分数阶Gardner-Kawahara模型的动力学分析和精确孤子解
IF 2.1 4区 物理与天体物理
Pramana Pub Date : 2025-08-13 DOI: 10.1007/s12043-025-02969-6
Muhammad Raheel, Asim Zafar, Jian Guo Liu
{"title":"Dynamical analysis and exact soliton solutions of the truncated M-fractional Gardner–Kawahara model","authors":"Muhammad Raheel,&nbsp;Asim Zafar,&nbsp;Jian Guo Liu","doi":"10.1007/s12043-025-02969-6","DOIUrl":"10.1007/s12043-025-02969-6","url":null,"abstract":"<div><p>This research reveals the novel types of exact wave solutions of the nonlinear Gardner–Kawahara (G–K) model in the concept of truncated M-fractional derivative. The G-K model, which is also called the extended Korteweg–de Vries (KdV) model, explains the solitary wave propagation in media, notation in plasmas, notation in shallow-water waves along surface tension and notation of magneto-acoustic waves. For our purpose, two techniques, the unified and the Sardar sub-equation techniques are applied. As a result, new types of exact wave solitons having periodic, dark–bright, periodic, kink are obtained. Some of the obtained solutions are represented through two- and three-dimensional and contour plots. The effect of the truncated M-fractional derivative (TMFD) is explained by plots. Stability of a concerned equation is checked by applying stability analysis. Moreover, the modulation instability analysis of the governing equation is also performed, which proves that the model and the obtained results are stable as well as exact.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144832153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Three-electron quantum dot/ring system under the Rashba effect and magnetic field: an analytical study Rashba效应和磁场作用下的三电子量子点/环体系的分析研究
IF 2.1 4区 物理与天体物理
Pramana Pub Date : 2025-08-08 DOI: 10.1007/s12043-025-02964-x
M Shirsefat, M Servatkhah, S Hosseini
{"title":"Three-electron quantum dot/ring system under the Rashba effect and magnetic field: an analytical study","authors":"M Shirsefat,&nbsp;M Servatkhah,&nbsp;S Hosseini","doi":"10.1007/s12043-025-02964-x","DOIUrl":"10.1007/s12043-025-02964-x","url":null,"abstract":"<div><p>The magnetic behaviour of a three-electron quantum dot<span>(/)</span>ring system is analytically investigated with electron–electron (e–e) interaction taking into account the Rashba effect and magnetic field. The Jacobi transformation has been employed to separate the Hamiltonian of the system into relative motion and the centre of mass. The Schrödinger equation is analytically solved and energy spectra are obtained. Then, the magnetisation and susceptibility are calculated. The magnetisation decreases by rising the magnetic field without and with spin–orbit interaction (SOI) and also without e–e interaction. The Rashba effect slightly modifies the magnetisation of the system without e–e interaction. The susceptibility displays a peak structure as the magnetic field changes from low values to high values. The susceptibility sign is negative by considering e–e interaction and without the Rashba effect and its value decreases by rising the magnetic field. The susceptibility displays a transition from diamagnetic to paramagnetic by considering the e–e term and the Rashba effect.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162857","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximation method for the nuclear structure functions at small x 小x处核结构函数的近似方法
IF 2.1 4区 物理与天体物理
Pramana Pub Date : 2025-08-02 DOI: 10.1007/s12043-025-02975-8
G R Boroun
{"title":"Approximation method for the nuclear structure functions at small x","authors":"G R Boroun","doi":"10.1007/s12043-025-02975-8","DOIUrl":"10.1007/s12043-025-02975-8","url":null,"abstract":"<div><p>We have demonstrated that the relationship between the deep inelastic scattering structure functions remains stable for a nuclear target with mass number <i>A</i> at <span>(x{le }10^{-3})</span>. Numerical results have been provided for the specific nuclei <span>(^{12})</span>C and <span>(^{208})</span>Pb using the nuclear PDF parametrisations incorporated in the HIJING2.0 model. These findings are within the electron–ion collider kinematic acceptance for heavy ion running. The ratio <span>(R^{A}_{F_{L}})</span> is determined as the ratio <span>(R^{A}_{F_{2}})</span> based on the HIJING2.0 model.\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fission and quasi-fission analysis of (^{252, 254,256})No(^*) and (^{249,253,257,261})Lr(^*) nuclei formed in different reactions 不同反应形成的(^{252, 254,256}) No (^*)和(^{249,253,257,261}) Lr (^*)核的裂变和准裂变分析
IF 2.1 4区 物理与天体物理
Pramana Pub Date : 2025-08-02 DOI: 10.1007/s12043-025-02967-8
Gurjit Kaur,  Rajni, Ajay Kumar Rai, Manoj K Sharma
{"title":"Fission and quasi-fission analysis of (^{252, 254,256})No(^*) and (^{249,253,257,261})Lr(^*) nuclei formed in different reactions","authors":"Gurjit Kaur,&nbsp; Rajni,&nbsp;Ajay Kumar Rai,&nbsp;Manoj K Sharma","doi":"10.1007/s12043-025-02967-8","DOIUrl":"10.1007/s12043-025-02967-8","url":null,"abstract":"<div><p>In the present work, the capture and fission dynamics of <span>(Z=)</span> 102 and 103 nuclear systems are investigated. The coupled channel model and the extended Wong model are used to address nuclear capture as well as fission cross-sections of <span>(^{48})</span>Ca<span>(+)</span> <span>(^{208})</span>Pb (leading to the composite system <span>(^{256}_{102})</span>No<span>(^*)</span>) and <span>(^{50})</span>Ti<span>(+^{208})</span>Pb (resulting in <span>(^{258}_{104})</span>Rf<span>(^*)</span>) reactions in reference to the available experimental data. Furthermore, the isotopic analysis of the <span>(Z =)</span> 102 nucleus is performed by changing the mass of the projectile–target (p–t) nuclei that leads to the synthesis of <span>(^{252,254,256})</span>No<span>(^*)</span> composite systems. The study suggests relatively higher cross-sections and compound nucleus formation probability (<span>(P_{textrm{CN}})</span>) values for the reactions in which <span>(^{48})</span>Ca projectile is involved with <span>(^{208})</span>Pb. Also, with a decrease in neutron number for Ca projectile (i.e., <span>(^{48,46,44})</span>Ca with <span>(^{208})</span>Pb target) the fission cross-sections drop by 40<span>(%)</span> which otherwise for Pb target (<span>(^{208,206,204})</span>Pb with <span>(^{48})</span>Ca projectile) is 10<span>(%)</span>. Subsequently, an attempt is made to predict the nuclear capture and fission data of <span>(Z=)</span> 103 (Lr<span>(^*)</span>) nucleus within the mass domain of 249u to 261u (i.e., <span>(^{249,253,257,261})</span>Lr<span>(^*)</span>) using various heavy-ion fusion reactions. Along with this, the decay profiles of <span>(^{249-261})</span>Lr<span>(^*)</span> composite systems are examined within the framework of the dynamical cluster decay model (DCM) in reference to the fragmentation potential, preformation probability and average total kinetic energy (<span>(langle mathrm TKErangle )</span>) distribution. Apart from traditional Pb-valley, an additional dip around the entrance channel mass asymmetry of <span>(eta approx 0.4)</span> and <span>(eta approx )</span> 0.2 is also noted for the reactions under consideration.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145160775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Novel approximations to the fractional fifth-order KdV-type equations and modelling nonlinear structures arising in plasmas and fluid mechanics 分数阶五阶kdv型方程的新近似及等离子体和流体力学中非线性结构的建模
IF 2.1 4区 物理与天体物理
Pramana Pub Date : 2025-07-31 DOI: 10.1007/s12043-025-02974-9
Albandari W Alrowaily, Rasool Shah, Alvaro H Salas, Weaam Alhejaili, C G L Tiofack, Sherif M E Ismaeel, Samir A El-Tantawy
{"title":"Novel approximations to the fractional fifth-order KdV-type equations and modelling nonlinear structures arising in plasmas and fluid mechanics","authors":"Albandari W Alrowaily,&nbsp;Rasool Shah,&nbsp;Alvaro H Salas,&nbsp;Weaam Alhejaili,&nbsp;C G L Tiofack,&nbsp;Sherif M E Ismaeel,&nbsp;Samir A El-Tantawy","doi":"10.1007/s12043-025-02974-9","DOIUrl":"10.1007/s12043-025-02974-9","url":null,"abstract":"<div><p>This study aims to apply two highly effective and precise analytical methods: the Aboodh residual power series method and the Aboodh transform iterative method. These enhanced techniques are utilised to analyse and solve two types of fractional physical evolutionary wave equations including the planar fractional Kawahara equation and the planar fifth-order Korteweg–de Vries (FKdV) equation. The mentioned approaches are a mixed form of the standard Aboodh transform with the standard residual power series method and iterative method. Some highly accurate analytical approximate solutions are derived using the two proposed approaches. In these techniques, the generated approximations are expressed as convergent series solutions. All generated approximations are analysed both graphically and numerically to gain insight into the dynamics of the nonlinear phenomena they represent, including planar solitary waves. The absolute error is also computed to assess the generated approximations’ precision and validate the efficacy of the proposed approaches. The fractional evolutionary wave equations (EWEs) under study are widely used to analyse and model various nonlinear structures that emerge and propagate in fluid mechanics, plasma physics and optical physics. Consequently, the derived approximations are expected to reveal some behaviours not shown by the exact solutions of these equations in their integer cases.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171342","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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