摘要
应用动力系统分支理论研究一类dKdV方程。给出了该方程在不同参数下对应行波系统的相图,根据相图求出周期尖波解和孤立波解的精确参数表达式,通过Maple进行数值模拟计算,绘制了2种参数下的周期尖波解和孤立尖波解的图像。
A class of dKdV equations is studied by using the bifurcation theory of dynamical systems.First,the phase portrait of the corresponding traveling wave system is given.Then exact parameter expressions of periodic cusp wave and solitary wave solution are derived based on phase portrait.Finally,the images of periodic sharp wave solution and isolated sharp wave solution are given by numerical simulation.
作者
张会洋
张克磊
ZHANG Huiyang;ZHANG Kelei(School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin 541004,China)
出处
《桂林电子科技大学学报》
2019年第4期327-330,共4页
Journal of Guilin University of Electronic Technology
基金
广西自然科学基金(2017GXNSFBA198130)
桂林电子科技大学研究生教育创新计划(2018YJCX61)
关键词
行波解
dKdV方程
相图
traveling wave solution
dKdV equation
phase portrait
