摘要
为得到偶合KdV方程的行波解,运用平面动力系统理论,得到了该方程在不同参数条件下的周期波解和光滑孤立波解的精确表达式,给出了在不同参数条件下孤立波解和无穷多光滑周期波解存在的充分条件。
To get traveling wave solutions of coupled KdV equation, bifurcation theory of planar dynamical systems method is used, the exact expressions of periodic wave solutions and solitary wave solutions are obtained under different parameters. The sufficient conditions to guarantee the existence of the above solutions are given.
作者
全寿湘
赵海霞
唐生强
QUAN Shouxiang;ZHAO Haixia;TANG Shengqiang(School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China;Guangxi Key Laboratory of Cryptography and Information Security,Guilin University of Electronic Technology,Guilin 541004,China)
出处
《桂林电子科技大学学报》
2019年第2期146-152,共7页
Journal of Guilin University of Electronic Technology
基金
广西自然科学基金(2017GXNSFBA198056,2017GXNSFBA198130)
广西高校中青年教师基础能力提升项目(KY2016YB157))
广西密码学与信息安全重点实验室基金(GCIS201706)
关键词
偶合KdV方程
相图
孤立波解
光滑周期波解
coupled KdV equation
phase diagram
solitary wave solution
periodic wave solution
