时滞Cahn-Hilliard方程的孤立波解  

Solitary Wave Solution for Time-delayed Cahn-Hilliard Equation

作　　者：李灵晓[1] 李二强[1] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471023

出　　处：《河南科技大学学报（自然科学版）》2013年第4期88-90,94,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：河南省国际合作交流基金项目(094300510050);河南省教育厅自然科学基金项目(2011B110013)

摘　　要：利用流量松弛方法导出了时滞Cahn-Hilliard方程,并利用最近提出的(G'/G)-展开法,求得了时滞Cahn-Hilliard方程的孤立波解,比较时滞Cahn-Hilliard方程和Cahn-Hilliard方程的孤立波解得出结论:时滞效应的存在将使孤立波的振幅增大,波宽变小。The time-delayed Cahn-Hilliard equation was derived by using the flux relaxation method.The solitary wave solutions of the time-delayed Cahn-Hilliard equation were obtained by using the ( G' / G ) expansion method proposed recently.By comparing the solitary wave solution of the time-delayed Cahn-Hilliard equation with that of the Cahn-Hilliard equation,the conclusion is that the existence of time delayed effects will increase the amplitude of solitary waves and decrease the wave-width of solitary waves.

关 键 词：时滞Cahn-Hilliard方程 (G' G)-展开法 孤立波解 齐次平衡 流量松弛方法 

分 类 号：O175.2[理学—数学]