文献类型：期刊文献

中文题名：Bifurcation analysis and exact traveling wave solutions for (2+1)-dimensional generalized modified dispersive water wave equation

英文题名：Bifurcation analysis and exact traveling wave solutions for (2+1)-dimensional generalized modified dispersive water wave equation*

作者：Song, Ming[1];Wang, Beidan[1];Cao, Jun[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：2020

卷号：29

期号：10

中文期刊名：中国物理B：英文版

外文期刊名：CHINESE PHYSICS B

收录：SCI-EXPANDED(收录号：WOS:000576884000001)、CSTPCD、、EI(收录号：20204309371638)、Scopus(收录号：2-s2.0-85092717552)、CSCD2019_2020、WOS、CSCD

基金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11361069 and 11775146).

语种：英文

中文关键词：bifurcation theory;generalized modified dispersive water wave equation;traveling wave solution

外文关键词：bifurcation theory; generalized modified dispersive water wave equation; traveling wave solution

中文摘要：We investigate (2+1)-dimensional generalized modified dispersive water wave (GMDWW) equation by utilizing the bifurcation theory of dynamical systems. We give the phase portraits and bifurcation analysis of the plane system corresponding to the GMDWW equation. By using the special orbits in the phase portraits, we analyze the existence of the traveling wave solutions. When some parameter takes special values, we obtain abundant exact kink wave solutions, singular wave solutions, periodic wave solutions, periodic singular wave solutions, and solitary wave solutions for the GMDWW equation.

外文摘要：We investigate (2+1)-dimensional generalized modified dispersive water wave (GMDWW) equation by utilizing the bifurcation theory of dynamical systems. We give the phase portraits and bifurcation analysis of the plane system corresponding to the GMDWW equation. By using the special orbits in the phase portraits, we analyze the existence of the traveling wave solutions. When some parameter takes special values, we obtain abundant exact kink wave solutions, singular wave solutions, periodic wave solutions, periodic singular wave solutions, and solitary wave solutions for the GMDWW equation.