偶合KdV方程的行波解分支

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英文篇名：Bifurcations of travelling wave solutions in coupled KdV equation 作者：全寿湘 ; 赵海霞 ; 唐生强 英文作者：QUAN Shouxiang;ZHAO Haixia;TANG Shengqiang;School of Mathematics and Computational Science, Guilin University of Electronic Technology;Guangxi Key Laboratory of Cryptography and Information Security,Guilin University of Electronic Technology; 关键词：偶合KdV方程 ; 相图 ; 孤立波解 ; 光滑周期波解 英文关键词：coupled KdV equation;;phase diagram;;solitary wave solution;;periodic wave solution 中文刊名：GLDZ 英文刊名：Journal of Guilin University of Electronic Technology 机构：桂林电子科技大学数学与计算科学学院;桂林电子科技大学广西密码学与信息安全重点实验室; 出版日期：2019-06-17 10:59 出版单位：桂林电子科技大学学报 年：2019 期：v.39;No.161 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) 语种：中文; 页：GLDZ201902012 页数：7 CN：02 ISSN：45-1351/TN 分类号：64-70

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.

引文

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