实五次Swift-Hohenberg方程的精确行波解

New exact solutions of real quintic Swift-Hohenberg equation by homogeneous balance method

在寻找非线性偏微分方程的孤波解中,齐次平衡法是一个很强大的工具。通过应用齐次平衡法,取得了实五次Swift-Hohenberg(RQSH)方程的一系列新的精确波解,这些解包括孤立波解、扭结波解、三角周期波解、奇异扭结波解等。

The homogeneous balance method is a very powerful tool in finding the solitary wave solutions for non- linear partial differential equations. By the homogeneous balance method, we obtain a series of exact wave solutions for the real quintic Swift-Hohenberg （RQSH） equation, including solitary wave solutions, kink wave solutions, periodic wave solutions, and singular kink wave solutions.