共振长短波方程的孤波解(英文)  

SOLITON SOLUTIONS OF THE LONG-SHORT WAVE RESONANCE EQUATIONS

作　　者：胡宗海[1] 吴然超[2] 张玮玮[2] 

机构地区：[1]安庆医药高等专科学校公共基础部,安徽安庆246052 [2]安徽大学数学科学学院,安徽合肥230039

出　　处：《数学杂志》2011年第1期35-42,共8页Journal of Mathematics

基　　金：Supported by the Natural Science Foundation of China (10471059);the Natural Science Foundation of Anhui Province(070416225);the Natural Science Foundation of Anhui Education Bureau(KJ2007A003);the Faculty Fund of Anhui University

摘　　要：本文研究了共振长短波方程的孤波解. 利用扩展映射法和符号计算, 得到许多新的孤波解. 这些孤波解能很好地模拟水波, 辅助方程用更一般方程代替的扩展映射法能更有效找到这些孤波解.In this article, soliton solutions of the long-short wave resonance equations are investigated. By the extended mapping method and symbolic computation, many new exact soliton solutions are obtained. These soliton solutions are fascinating in modeling water waves. The extended mapping method, with the auxiliary ordinary equations replaced by more general ones, is more effective to find these soliton solutions.

关 键 词：共振长短波方程 扩展映射法 孤波解 

分 类 号：O175.2[理学—数学]