2016 International Symposium on Nanofluid Heat and Mass Transfer in Textile Engineering and 5th International Symposium on Nonlinear Dynamics

Journal: Nonlinear Science Letters A
(ISSN 2519-9072(Online), ISSN 2076-2275 (Print))          Vol. 1 No. 1
The Three-wave Method for Nonlinear Evolution Equations
Zheng-De Dai , Chuan-Jian Wang , Song-Qing Lin , Dong-Long Li , Gui Mu
School of Mathematics and Statistics,YunnanUniversity, Kunming 650091, P.R.China
Department of Information and Computing Science, Guangxi Institute of Technology,Liuzhou, Guangxi, 545005, P.R.China
Abstract: Travelling wavesmay be composed of different frequenciesandvelocities and this paper proposes amulti-wave method for finding exact multi-solitary solutions. The(1+2)-D potential Boiti-Leon- Manna-Pempinelli (PBLMP) equation is used as an example to illustrate the effectiveness ofthesuggested method and some new wave solutions with three different velocities and frequencies are obtained.

Keywords: Three-wave solution; Periodic cross-kink wave; Breather cross-kink wave; PBLMP Equation.

Biographical Notes: Z. D. Dai is a professorof mathematicsat Yunnan University and his main researchinterests are inthe nonlinearsciences andnonlinearevolutionequations. He has published more than 50 articles in ISI-listed journals.


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