Stability Analysis of Solitary Wave Solutions for Coupled and (2+1)-Dimensional Cubic Klein-Gordon Equations and Their Applications

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2018,（6）
• 页码范围: 676-686
• 页数: 11页
• 语种: 英文
• DOI: 10.1088/0253-6102/69/6/676

摘要

The searching exact solutions in the solitary wave form of non-linear partial differential equations (PDEs) play a significant role to understand the internal mechanism of complex physical phenomena.In this paper,we employ the proposed modified extended mapping method for constructing the exact solitary wave and soliton solutions of coupled Klein-Gordon equations and the (2+1)-dimensional cubic Klein-Gordon (K-G) equation.The Klein-Gordon equations are relativistic version of Schr(o)dinger equations,which describe the relation of relativistic energy-momentum in the form of quantized version.We productively achieve exact solutions involving parameters such as dark and bright solitary waves,Kink solitary wave,anti-Kink solitary wave,periodic solitary waves,and hyperbolic functions in which several solutions are novel.We plot the three-dimensional surface of some obtained solutions in this study.It is recognized that the modified mapping technique presents a more prestigious mathematical tool for acquiring analytical solutions of PDEs arise in mathematical physics.