BIFURCATIONS AND NEW EXACT TRAVELLING WAVE SOLUTIONS OF THE COUPLED NONLINEAR SCHRDINGER-KdV EQUATIONS  

作　　者：Heng Wang Shuhua Zheng 

机构地区：[1]College of Global Change and Earth System Science (GCESS),Beijing Normal University [2]Investment and Development Department, Market and Investment Center,Yunnan Water Investment Co.,Limited

出　　处：《Annals of Applied Mathematics》2016年第3期288-295,共8页应用数学年刊（英文版）

摘　　要：By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrdinger-KdV equations are studied. Based on this method, all phase portraits of the system in the parametric space are given. All possible bounded travelling wave solutions such as solitary wave solutions and periodic travelling wave solutions are obtained. With the aid of Maple software, the numerical simulations are conducted for solitary wave solutions and periodic travelling wave solutions to the coupled nonlinear Schrdinger-KdV equations. The results show that the presented findings improve the related previous conclusions.By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrdinger-KdV equations are studied. Based on this method, all phase portraits of the system in the parametric space are given. All possible bounded travelling wave solutions such as solitary wave solutions and periodic travelling wave solutions are obtained. With the aid of Maple software, the numerical simulations are conducted for solitary wave solutions and periodic travelling wave solutions to the coupled nonlinear Schrdinger-KdV equations. The results show that the presented findings improve the related previous conclusions.

关 键 词：dynamical system method coupled nonlinear SchrdingerKd V equations solitary wave solution periodic travelling wave solution numerical simulation 

分 类 号：O175[理学—数学]