改进的展示法求偏微分方程的精确解
nother New (G’/G )-expansion Method and its Applications
这篇文章中，我们对G‘/G展式法作了改进:给方程的解加上负指数项的同时,我们将G’/G展式法中的线性辅助方程用非线性方程代替.我们将改进的G‘/G展式法应用于混合的 KdV-Burgers方程,Variant Boussinesq方程组和Hirota-Satsuma耦合KdV方程组,并得到包含类孤子解和周期型解的一系列精确解.
In this paper, the (G‘/G )-expansion method is improved not only by making extension to the expression of the solutions of the NLEEs, but also by substituting the linear subsidiary equation in the G’/G -expansion method for a nonlinear one in form of F02 = Pn i=0 aiFi. Making use of the extended method, we study the compound KdV-Burgers equation, the Variant Boussinesq equations and the Hirota-Satsuma coupled KdV equations and obtain rich new families of exact solutions, including the solution-like solutions, period-form solutions.
史荣芬、史后霞、李超
数学物理学
改进的G＇/G展式法 齐次平衡原则混合KdV-Burgers方程 Variant Boussinesq方程组 Hirota-Satsuma耦合KdV
extended (G‘／G )-expansion method homogeneous balance principle compound KdV-Burgers equation Variant Boussinesq equations Hirota-Satsuma coupled KdV equations.
史荣芬,史后霞,李超.改进的展示法求偏微分方程的精确解[EB/OL].(2008-04-24)[2025-08-03].http://www.paper.edu.cn/releasepaper/content/200804-896.点此复制
评论