Ion-acoustic wave structures in the fluid ions modeled by higher dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation  

作　　者：U.Younas J.Ren Muhammad Z.Baber Muhammad W.Yasin T.Shahzad 

机构地区：[1]State Key Laboratory of Power Grid Environmental Protection/Henan Academy of Big Data,Zhengzhou University,Zhengzhou 450001,China [2]Department of Mathematics and Statistics,The University of Lahore,Lahore,Pakistan [3]Department of mathematics,University of Narowal,Narowal,Pakistn [4]Department of Basic Sciences and Humanities,Narowal Campus,University of Engineering and Technology Lahore 54890,Pakistan

出　　处：《Journal of Ocean Engineering and Science》2023年第6期623-635,共13页海洋工程与科学（英文）

基　　金：acknowledge the financial support provided for this research via Open Fund of State Key Laboratory of Power Grid Environmental Protection(No.GYW51202101374);the National Natural Science Foundation of China(52071298);Zhong Yuan Science and Technology Innovation Leadership Pro-gram(214200510010)。

摘　　要：In this paper,the higher dimensional generalized Korteweg-de-Varies-Zakharov-Kuznetsov(gKdV-ZK)equation is under investigation.This model is used in the field of plasma physics which describes the effects of magnetic field on the weak ion-acoustic wave.We have applied two techniques,called asφ^(6)-model expansion method and the Hirota bilinear method(HBM)to explore the diversity of wave struc-tures.The solutions are expressed in the form of hyperbolic,periodic and Jacobi elliptic function(JEF)solutions.Moreover,the solitary wave solutions are also extracted.A comparison of our results to well-known results is made,and the study concludes that the solutions achieved here are novel.Additionally,3-dimensional and contour profiles of achieved outcomes are drawn in order to study their dynamics as a function of parameter selection.On the basis of the obtained results,we can assert that the pro-posed computational methods are straightforward,dynamic,and well-organized,and will be useful for solving more complicated nonlinear problems in a variety of fields,particularly in nonlinear sciences,in conjunction with symbolic computations.Additionally,our discoveries provide an important milestone in comprehending the structure and physical behavior of complex structures.We hope that our findings will contribute significantly to our understanding of ocean waves.This study,we hope,is appropriate and will be of significance to a broad range of experts involved in ocean engineering models.

关 键 词：Wave solutions gKdV-ZK equation Bilinear transformation φ^(6)-model expansion method 

分 类 号：P731.22[天文地球—海洋科学]