摘要
本文研究了small-aspect-ratio波方程和深水表面波可积发展方程的行波解问题.利用微分方程定性理论的方法,分析了行波系统的相图分支,获得了孤立波解的精确表达式.
In this paper,we investigate the traveling wave solutions of a small-aspect-ratio wave equation and an integrable evolution equation for surface waves in deep water.By applying the qualitative theory of differential equations,we analyze the phase portraits of the traveling wave systems and obtain the exact explicit representations of solitary wave solutions.
出处
《数学杂志》
CSCD
北大核心
2016年第5期963-974,共12页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China Grants(11461021)
National Natural Science Foundation of Guangxi Grant(2014GXNSFAA118028)
Scientific Research Foundation of Guangxi Education Department(KY2015YB306)
the open fund of Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis(HCIC201305)
Scientific Research Project of Hezhou University(2012PYZK02
2015ZZZK16)
Guangxi Colleges and Universities Key Laboratory of Symbolic Computation and Engineering Data Processing
关键词
行波解
相图分支
可积系统
表面波方程
traveling wave solutions
bifurcations of phase portraits
integrable systems
surface waves equations
