摘要
研究了一类复mKdV方程,利用平移、旋转及尺度变换将其行波方程简化为常系数的平面动力系统。在复系数的虚部为零的情况下得到了一个二阶常微分方程,通过研究参数不同值时该方程的精确行波解,从而得到了复mKdV方程的各类精确行波解。
A complex mKdV equation was studied.The traveling wave equation was reduced to a planar dynamical system with constant coefficients by using of translation,rotation and scale change.A second-order ordinary differential equation was obtained in the case that the imaginary part of the complex coefficient was 0.Various traveling wave solutions to the complex mKdV equation were gained by studying the exact traveling wave solutions of the equation under different research parameters.
作者
原培英
张建明
张丽俊
YUAN Peiying;ZHANG Jianming;ZHANG Lijun(School of Sciences,Zhejiang Sci-Tech University,Hangzhou 310018,China;College of Mathematics and System Science,Shandong University ofScience and Technology,Qingdao 266590,China)
出处
《浙江理工大学学报（自然科学版）》
2019年第4期522-526,共5页
Journal of Zhejiang Sci-Tech University(Natural Sciences)
基金
国家自然科学基金项目(11672270)
浙江省自然科学基金项目(LY15A010021)
浙江理工大学科研启动基金项目(LY15A010021)
关键词
行波解
动力系统
分支理论
复mKdV方程
traveling wave solutions
dynamical systems
bifurcation theory
complex mKdV equation
