广义Fornberg-Whitham方程的某些非线性波解
Some Nonlinear Wave Solutions for the Generalized Fornberg-Whitham Equation
DOI: 10.12677/AAM.2020.99187, PDF,    科研立项经费支持
作者: 朱 贇, 刘 锐：华南理工大学，数学学院，广东 广州
关键词: Fornberg-Whitham方程；行波系统；分支；精确解；Fornberg-Whitham Equation； Traveling Wave System； Bifurcation； Exact Solutions
摘要: 本文利用微分方程定性理论和动力系统分支方法寻找广义Fornberg-Whitham方程的非线性波解，当次数n = 2时，我们获得了四个非线性波解；当次数n = 3时，我们获得了一个非线性波解。
Abstract: In this paper, the qualitative theory of differential equations and the bifurcation method of dynamical systems are used to find nonlinear wave solutions of the generalized Fornberg-Whitham equation. When n = 2, we obtained four nonlinear wave solutions. When n = 3, we obtained one nonlinear wave solution.
文章引用：朱贇, 刘锐. 广义Fornberg-Whitham方程的某些非线性波解[J]. 应用数学进展, 2020, 9(9): 1589-1603. https://doi.org/10.12677/AAM.2020.99187

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