形变Boussinesq方程的精确行波解研究  

A Research on Exact Traveling-Wave Solutions of Deformed Boussinesq Equation

作　　者：刘洋 LIU Yang(School of Mathematics and Finance,Chuzhou University,Chuzhou Anhui 239000,China)

机构地区：[1]滁州学院数学与金融学院,安徽滁州239000

出　　处：《文山学院学报》2023年第2期55-60,共6页Journal of Wenshan University

摘　　要：利用齐次平衡法和推广的F-展开法对形变Boussinesq方程进行研究,得到了方程组的一些精确行波解。这些精确行波解归类为以下五种:双曲函数解,有理函数解,Weierstrass椭圆函数解,三角函数解和Jacobi椭圆函数解。五种精确新波解的F-展开法构造方法对其它类型辅助方程求解形变Boussinesq方程行波解具有积极的作用。The deformed Boussinesq equations are studied by using the homogeneous equilibrium method and the generalized F-expansion method,and some exact traveling wave solutions of the equations are obtained.These exact traveling wave solutions are classified into the following five types:hyperbolic function solution,rational function solution,Weierstrass elliptic function solution,trigonometric function solution and Jacobi elliptic function solution.The F-expansion construction method of the five exact new wave solutions has a positive effect on solving the traveling wave solutions of the deformed Boussinesq equations for other types of auxiliary equations.

关 键 词：F-展开法 齐次平衡法 形变Boussinesq方程 精确行波解 

分 类 号：O175.29[理学—数学]