Mathematics and Computers in Simulation最新文献

{"title":"Dynamics of solitons and modulation instability in a (2+1)-dimensional coupled nonlinear Schrödinger equation","authors":"Vineesh Kumar ,&nbsp;Arvind Patel ,&nbsp;Monu Kumar","doi":"10.1016/j.matcom.2025.03.022","DOIUrl":"10.1016/j.matcom.2025.03.022","url":null,"abstract":"<div><div>This study uses the complex amplitude ansatz and semi-inverse methods to explore the closed-form exact optical soliton solutions of a (2+1)-dimensional coupled nonlinear Schrödinger (NLS) equation. Delving into the specified methods unveils the enigmatic dynamic presence of solitons within the solutions of the NLS equation. These methods produce specific possible solutions of the equation that contain enough free physical parameters. Also, the phase shift and intensity of the soliton solutions are presented. The results of produced solutions are reported as bright, anti-bright, dark, kink, anti-kink, stationary, and one-solitons. This study explores soliton solution of the NLS equation not known earlier. Furthermore, we performed a comprehensive modulation instability (MI) analysis using linear standard stability analysis, providing valuable insights into this phenomenon. Graphical representations of the solutions such as two-dimensional (2D), three-dimensional (3D), and contour plots have been illustrated with appropriate parameter values to provide additional insight into these innovative solutions. It is found that MI gain and instability bandwidth can be controlled by the equations parameter, initial incidence power and perturbation wave numbers.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"235 ","pages":"Pages 95-113"},"PeriodicalIF":4.4,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143761330","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Conditional generalized quantiles as systemic risk measures: Properties, estimation, and application","authors":"Arief Hakim,&nbsp;A.N.M. Salman,&nbsp;Khreshna Syuhada","doi":"10.1016/j.matcom.2025.03.011","DOIUrl":"10.1016/j.matcom.2025.03.011","url":null,"abstract":"&lt;div&gt;&lt;div&gt;The conditional &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;-quantile, or simply conditional quantile, is vital for measuring systemic risk, i.e., the risk that the distress experienced by one or more financial markets spreads to the others. One may formulate conditional quantile-based value-at-risk (CoVaR), but it depends only on the probability of loss occurrence. Alternatively, one may define conditional expectile-based value-at-risk (CoEVaR) or &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;-CoVaR, but it is too sensitive and thus unrobust to extreme losses. In this paper, we aim to construct a generalized measure of systemic risk, called &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;-CoVaR, based on conditional &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;-quantiles when the conditioning risks are measured using &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;-VaR, where &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mo&gt;≥&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;. We find that the &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;-VaR and &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;-CoVaR are coherent for all linear portfolios of elliptically distributed losses and are asymptotically coherent at high confidence level for independently and identically distributed losses with heavy right-tail. In addition, we determine their estimators and the respective asymptotic properties. In particular, we perform the &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;-CoVaR estimation using multivariate copulas, enabling us to link marginal risk models and capture their complex dependence. Our Monte Carlo simulation study demonstrates that the &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;-VaR and &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;-CoVaR estimators with &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, respectively, exhibit relatively better (conditional) coverage performance than the VaR and CoVaR as well as EVaR and CoEVaR estimators. Furthermore, our empirical study based on cryptocurrency return data with the best-fitting dependence model having heavy-tailed margins and tail dependence structures validates this result. It also confirms that the &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;-VaR and &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;-CoVaR with &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; are, respectively, not as insensitive as VaR and CoVaR and not as sensitive as EVaR and CoEVaR to an extre","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"235 ","pages":"Pages 60-84"},"PeriodicalIF":4.4,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143739081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Multi-breather asymptotics for a nonlinear Schrödinger equation arising in oceanography, plasma physics, Bose–Einstein condensation and fiber optics","authors":"Xi-Hu Wu ,&nbsp;Yi-Tian Gao","doi":"10.1016/j.matcom.2025.03.018","DOIUrl":"10.1016/j.matcom.2025.03.018","url":null,"abstract":"<div><div>Nonlinear Schrödinger (NLS)-type equations describe various physics phenomena in the nonlinear media in oceanography, plasma physics, Bose–Einstein condensation and fiber optics. This paper deals with the <span><math><mi>N</mi></math></span>-breather solutions in the determinant form for a cubic-focusing NLS equation, claimed to be the most fundamental form among the NLS-type quations, where <span><math><mi>N</mi></math></span> is a positive integer. We carry out an asymptotic analysis on the <span><math><mi>N</mi></math></span>-breather solutions and obtain the algebraic expressions for the individual breather components. The physical characteristics of the <span><math><mi>N</mi></math></span> interacting breathers, including their characteristic lines, phase shifts, energy exchanges, periods, and extreme points, are discussed. Before and after the interactions, the <span><math><mi>N</mi></math></span> breather components pass through each other without any change in shape or velocity, while their solitary and periodic parts encounter the phase shifts. Taking the 3D plot and density plot of the two interacting breathers as an example, our asymptotic results are consistent with those plots. Our work may enhance the understanding of the multi-breather interactions in various physics contexts, and the method used can be extended to other NLS-type equations across the diverse physical phenomena.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"235 ","pages":"Pages 85-94"},"PeriodicalIF":4.4,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143739080","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Robust regulation of blood glucose for Type-1 diabetes using insulin infusion limiter-based feedback control via artificial Pancreas","authors":"Sajida Manzoor ,&nbsp;Muhammad Rehan ,&nbsp;Ijaz Ahmed","doi":"10.1016/j.matcom.2025.03.020","DOIUrl":"10.1016/j.matcom.2025.03.020","url":null,"abstract":"<div><div>This paper studies the feedback control of blood glucose concentration in Type-1 diabetes patients (T1DPs) through an artificial Pancreas via the glucose monitoring and insulin pump. For an artificial Pancreas, insulin infusion through a pump has been adapted by respecting the desired insulin infusion range for a patient. The insulin range has been incorporated by considering the lower and upper limits on the insulin infusion rate, which are maintained for a patient through the application of an asymmetric saturation nonlinearity (rate limiter). By incorporating the infusion rate range, the Bergman’s model of T1DPs via the saturated insulin input has been revised for attaining an improved model. To deal with the asymmetric saturation nonlinearity for positive systems, arising due to specific consideration of diabetes patients model, analytical investigations in terms of an inequality and signal transformation have been revealed. To control the glucose level and to keep the delivery of insulin within prescribed limits, a local feedback control strategy by application of the proposed analytical investigation of the nonlinearity has been provided. The proposed automatic control approach is more safe for a T1DP than the existing methods due to consideration of the desired insulin rate limits and positive input. In addition, a robust regulation strategy against variation in the glucose level, caused by the food intake, has also been provided in terms of linear matrix inequalities. The attained results can be applied for manufacturing a better device for the purpose of blood glucose regulation in T1DPs. A comparative simulation study to demonstrate the superiority of the proposed scheme has been provided at the end.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"235 ","pages":"Pages 1-15"},"PeriodicalIF":4.4,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143734912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A computational method for finding feedback Nash equilibrium solutions (FBNES) in Nonzero-Sum Differential Games (NZSDG) Based on the Variational Iteration Method (VIM)","authors":"B. Kafash ,&nbsp;Z. Nikooeinejad","doi":"10.1016/j.matcom.2025.03.016","DOIUrl":"10.1016/j.matcom.2025.03.016","url":null,"abstract":"<div><div>In this paper, we applied a semi-analytical approach called the Variational Iteration Method (VIM) to solve Nonzero-Sum Differential Games (NZSDGs). With this method, the Hamilton–Jacobi–Bellman (HJB) equation as a partial differential equation (PDE) is approximated iteratively using a correction function. This approach allows us to obtain approximations of the value functions, the feedback Nash equilibrium solutions (FBNES), and an estimation of the optimal performance index (PI). The proposed method provides a simple way to solve NZSDGs and is applied to obtain solutions for both linear-quadratic models in two scenarios and two applied nonlinear cases. Note that, to highlight their practical relevance, we have selected these models. The numerical results of the presented case studies demonstrate that the proposed method can generate approximate solutions with high accuracy. The convergence of the method, based on the Banach fixed point theorem (BFPT), is investigated and discussed in all examples. Additionally, a comparative analysis evaluates the efficiency and accuracy of the proposed method against the backward fourth-order Runge–Kutta (BRK4) method and the backward finite difference (BFD) scheme. Results show that VIM achieves similar or higher accuracy with significantly fewer iterations, while enhancing computational efficiency. Unlike the BRK4 and BFD methods, which rely on discretization, the VIM generates a continuous analytical solution, offering greater flexibility and improved accuracy for solving differential game problems.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"235 ","pages":"Pages 37-59"},"PeriodicalIF":4.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143739079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"IMACS Calendar of Events","authors":"","doi":"10.1016/S0378-4754(25)00107-7","DOIUrl":"10.1016/S0378-4754(25)00107-7","url":null,"abstract":"","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Page 568"},"PeriodicalIF":4.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684686","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"News of IMACS","authors":"","doi":"10.1016/S0378-4754(25)00106-5","DOIUrl":"10.1016/S0378-4754(25)00106-5","url":null,"abstract":"","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Page 567"},"PeriodicalIF":4.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684685","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Contagious popular stories, stock market participation, and boom–bust cycles","authors":"Sarah Mignot,&nbsp;Frank Westerhoff","doi":"10.1016/j.matcom.2025.03.014","DOIUrl":"10.1016/j.matcom.2025.03.014","url":null,"abstract":"<div><div>We study a model in which investors’ stock market participation hinges on contagious popular stories. Two opposing narratives exist that either advocate investing in the stock market or abstaining from it. Investors’ adherence to these narratives depends on the current behavior of the stock market and the social interactions among investors. For instance, stories that advocate investing in the stock market appear more plausible to investors during boom periods and when such behavior is common among peers. We identify different constellations in which waves of market entry and exit, driven by contagious popular stories, create boom–bust stock market dynamics.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 459-471"},"PeriodicalIF":4.4,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143697558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A novel image gravity transform based on least significant bit in image steganography","authors":"Mehdi Nikpour,&nbsp;Mohammad Taghi Kheirabadi,&nbsp;Ali Nodehi","doi":"10.1016/j.matcom.2025.03.010","DOIUrl":"10.1016/j.matcom.2025.03.010","url":null,"abstract":"<div><div>Information transmission technology has been developing rapidly in recent years, and high-quality and safe information transmission is one of the major challenges in today’s world. Steganography is a safe data transmission technique in which the data is embedded and hidden in a media content before sending it to the network. Text-in-image steganography is one of the important types of steganography that has various applications such as military, research and data mining. <!--> <!-->Designing an algorithm with high security and accurate retrieval of hidden data is one of the main challenges in text-in-image steganography. Hence, In this paper, a new efficient text-in-image steganography algorithm is proposed to enhance the security of hidden data and accuracy of data retrieval. This algorithm is composed of two components including data hiding and data retrieval. In the first component, the original data is hidden in the original Image and generate the stegano image. To this end, the algorithm of “finding the best non-uniform locations” (FBNL) is introduced. in addition the original text is encrypted by IGT algorithm. After that, the encrypted text is hidden in the best non-uniform location of image that founded by FBNL. The second component is executed when the original data is needed. in the start of this component, the FBNL algorithm runs and find the best non-uniform location and the inverse IGT (IIGT) algorithm uses this locations and recovers the original data. For evaluation, several datasets is employed for images including Cifar, Mnist, Pascal and LFW. In addition, the text data is retrieved from UCI dataset. The evaluation results show that the proposed algorithm has an improvement between 4.6 and 58.4 percent in terms of quality, error, security and time compared to other investigated algorithms in different scenarios.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 396-418"},"PeriodicalIF":4.4,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"An innovative methodology in scrutinizing the nonlinear instability of two immiscible MHD viscoelastic liquids","authors":"Galal M. Moatimid,&nbsp;Yasmeen M. Mohamed","doi":"10.1016/j.matcom.2025.03.017","DOIUrl":"10.1016/j.matcom.2025.03.017","url":null,"abstract":"<div><div>This study examines the nonlinear stability of two distinct viscoelastic magneto-rheological planner fluids that are immersed in porous media. The lower zone is filled with the Reiner-Rivlin fluid (RRF); meanwhile, the upper one is occupied by the Eyring-Powell fluid (EPF). An unchanged magnetic field (MF) is applied to the whole structure, and the effects of surface tension (ST) and mass and heat transfer (MHT) are also documented. This approach offers insights into stability thresholds and flow dynamics crucial for applications in energy systems, medicinal devices, and industrial processes that involve multi-layered magneto-rheological fluids in porous settings. One use of these fluids is the real-time adjustment of damping qualities in adaptive vehicle suspension systems. Improvements in vehicle dynamic performance, comfort, and safety are directly impacted by this research. The calculations are shortened by making use of viscous potential theory (VPT). Therefore, the viscoelastic influences are considered in order to show how the nonlinear boundary conditions (BCs) produce their contributions. Consequently, the impacts of the viscoelasticity parameters are removed from the solution of the equations of motion. Merging the fundamental linear hydrodynamic equations with Maxwell's equations over the quasi-static approximations, the boundary-value problem is raised. A popular nonlinear ordinary differential equation (ODE) can be transformed into a linear via the He’s frequency formula (HFF), which forms the basis of the non-perturbative approach (NPA). The non-dimensional analysis reveals a set of physical dimensionless numerals. Additionally, they help to reduce the amount of variables that are needed to comprehend the framework. The stability constraints are numerically tested in the complex scenario, and the stability mechanism remains consistent for both real and imaginary coefficients within the nonlinear characteristic equation governing interface displacement. Polar plots of unstable solutions are omitted, since these solutions are not desired.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 472-496"},"PeriodicalIF":4.4,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143726019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}