Cahn-Allen方程的精确解  

Exact solutions for Cahn-Allen equation

作　　者：时倩倩 刘法贵 SHI Qianqian;LIU Fagui(School of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450046

出　　处：《河南工程学院学报（自然科学版）》2021年第1期77-80,共4页Journal of Henan University of Engineering：Natural Science Edition

摘　　要：非线性发展方程的精确解计算是偏微分方程研究中的一个重要方向,对一些物理现象的解释具有重要的指导意义。利用试探函数法和齐次平衡法讨论Cahn-Allen方程的精确解,得到了Cahn-Allen方程的扭状孤立波解。The exact solution of the nonlinear development equation is an important direction in the study of partial differential equations,which has important guiding significance for the interpretation of some physical phenomena.In this paper,the exact solution of Cahn-Allen equation is discussed by means of trial function method and homogeneous equilibrium method,and the torsional isolated wave solution of Cahn-Allen equation is obtained.

关 键 词：Cahn-Allen方程 试探函数法 齐次平衡法 精确解 

分 类 号：O175[理学—数学]