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Nonlinear wave solutions and their relations for the modified Benjamin-Bona-Mahony equation  ( SCI-EXPANDED收录 EI收录)   被引量:27

文献类型:期刊文献

英文题名:Nonlinear wave solutions and their relations for the modified Benjamin-Bona-Mahony equation

作者:Song, Ming[1,2]

机构:[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China;[2]Yuxi Normal Univ, Dept Math, Yuxi 653100, Peoples R China

年份:2015

卷号:80

期号:1-2

起止页码:431

外文期刊名:NONLINEAR DYNAMICS

收录:SCI-EXPANDED(收录号:WOS:000352695100035)、、EI(收录号:20150300431569)、Scopus(收录号:2-s2.0-84925519581)、WOS

基金:Research is supported by the National Natural Science Foundation of China (No. 11361069).

语种:英文

外文关键词:Bifurcation method; MBBM equation; Phase portraits; Nonlinear wave solutions

外文摘要:In this paper, we use the bifurcation method of dynamical systems to investigate the nonlinear wave solutions of the modified Benjamin-Bona-Mahony equation. These nonlinear wave solutions contain periodic wave solutions, solitary wave solutions, periodic blow-up wave solutions, kink wave solutions, unbounded wave solutions and blow-up wave solutions. Some previous results are extended.

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