一类广义的带惯性项的Cahn-Hilliard方程的行波解
The Traveling Wave Solutions for a Class of Generalized Cahn-Hilliard Equation with Inertia Term
DOI: 10.12677/AAM.2019.85101, PDF,   
作者: 赵传业, 弭鲁芳：滨州学院理学院，山东 滨州；王延梅：沾化区第二实验小学，山东 滨州
关键词: 行波解；Cahn-Hilliard方程；双曲正切函数法；Traveling Wave Solutions； Cahn-Hilliard Equation； The Hyperbolic Tangent Function Method
摘要: Cahn-Hilliard型方程是数学物理方程中一类重要的非线性扩散方程。本文考虑一类广义的带惯性项的Cahn-Hilliard方程，对这类方程的行波解问题作了进一步的探究。利用双曲正切函数法得到了方程的精确行波解，并知道这类行波解具有激波的性质。
Abstract: Cahn-Hilliard equation is a kind of important non-linear diffusion equation in mathematical physics. In this paper, we consider a class of generalized Cahn-Hilliard equations with inertia terms. The traveling wave solution of this kind of equation is further explored. The exact traveling wave solutions of the equation are obtained by using the hyperbolic tangent function method, and these traveling wave solutions have the properties of shock waves.
文章引用：赵传业, 王延梅, 弭鲁芳. 一类广义的带惯性项的Cahn-Hilliard方程的行波解[J]. 应用数学进展, 2019, 8(5): 897-901. https://doi.org/10.12677/AAM.2019.85101

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