双分量Dullin-Gottwald-Holm方程的peakon解与拟扭波解  

Peakons and Kink-like Wave Solutions for a Two Component Dullin-Gottwald-Holm Equation

作　　者：钱浩浩 金浩铭 刘韩彬 章丽娜[1] QIAN Haohao;JIN Haoming;LIU Hanbin;ZHANG Lina(School of Science,Huzhou University,Huzhou 313000,China)

机构地区：[1]湖州师范学院理学院,浙江湖州313000

出　　处：《湖州师范学院学报》2022年第10期1-6,共6页Journal of Huzhou University

基　　金：国家自然科学基金资助项目(61473332);湖州师范学院“大学生创新创业训练计划”项目(202101190)。

摘　　要：利用动力系统方法研究双分量Dullin-Gottwald-Holm(DGH)方程的非光滑行波解及其动力学行为.运用相图分析技术给出双分量Dullin-Gottwald-Holm方程peakon解和拟扭波解存在的参数条件,获得peakon解和拟扭波解的精确表达式及其数值模拟.In this paper, the nonsmooth wave solutions and their dynamical behavior for a two component Dullin-Gottwald-Holm equation are studied by dynamic systems approach. The parametric conditions of existence of peakons and kink-like wave solutions are given by using the phase portrait analytical technique. The exact representations and numerical simulations are provided for peakons and kink-like wave solutions of the two component Dullin-Gottwald-Holm equation.

关 键 词：双分量Dullin-Gottwald-Holm方程 peakon解 拟扭波解 

分 类 号：O175[理学—数学]