变系数KdV-mKdV组合方程的精确解  

Exact solutions of variable coefficient KdV-mKdV combined equation

作　　者：周帅 ZHOU Shuai(School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454350,China)

机构地区：[1]河南理工大学数学与信息科学学院,河南焦作454350

出　　处：《哈尔滨商业大学学报（自然科学版）》2023年第2期204-207,共4页Journal of Harbin University of Commerce：Natural Sciences Edition

摘　　要：应用齐次平衡原则和辅助函数法,将变系数KdV-mKdV组合方程转化成变系数常微分方程,利用Maple软件得出变系数KdV-mKdV组合方程的几类精确解,比如有类孤子解、三角函数解、椭圆函数解和幂函数解.Based on the homogeneous balance principle and using auxiliary functions,the variable coefficient KdV-mKdV combined equation was transformed into variable coefficient ordinary differential equation.Some exact solutions of the variable coefficient KdV-mKdV combined equation were obtained by using Maple software,including soliton-like solutions,trigonometric solutions,Jacobian elliptic function solutions and rational function solutions.

关 键 词：齐次平衡原则 辅助函数 常微分方程 MAPLE软件 变系数KdV-mKdV组合方程 精确解 

分 类 号：O175.29[理学—数学]