Solitary wave solutions for the variable-coefficient coupled nonlinear Schrödinger equations and Davey-Stewartson system using modified sine-Gordon equation method  

作　　者：Rehab M.El-Shiekh Mahmoud Gaballah 

机构地区：[1]Department of Mathematics,College of Science and Humanities at Howtat Sudair,Majmaah University,11952,Saudi Arabia [2]Department of Physics,College of Science at Al-Zulfi,Majmaah University,11952,Saudi Arabia [3]Department of Mathematics,Faculty of Education,Ain Shams University,Cairo,Egypt

出　　处：《Journal of Ocean Engineering and Science》2020年第2期180-185,共6页海洋工程与科学（英文）

基　　金：The authors would like to thank the Deanship of Scientific Research,Majmaah University,Saudi Arabia,for funding this work under project No.R-1441-26.

摘　　要：In this study,the sine-Gordon equation method is modified to deal with variable-coefficient systems containing imaginary parts,such as nonlinear Schrödinger systems.These are of considerable importance in many fields of research,including ocean engineering and optics.As an example,we apply the modified method to variable-coefficient coupled nonlinear Schrödinger equations and Davey-Stewartson system with variable coefficients,treating them as one-dimensional and two-dimensional systems,respectively.As a result of this application,novel solitary wave solutions are obtained for both cases.Moreover,some figures are provided to illustrate how the solitary wave propagation is determined by the different values of the variable group velocity dispersion terms,which can be used to model various phenomena.

关 键 词：Coupled nonlinear Schrödinger equations Davey-Stewartson system with variable coefficients Sine-Gordon equation method Solitary waves 

分 类 号：O17[理学—数学]