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2015 New Interaction Solutions of (3+1)-Dimensional KP and (2+1)-Dimensional Boussinesq Equations
Bo Ren, Jun Yu, Xi-Zhong Liu
Abstr. Appl. Anal. 2015: 1-7 (2015). DOI: 10.1155/2015/213847


The consistent tanh expansion (CTE) method has been succeeded to apply to the nonintegrable (3+1)-dimensional Kadomtsev-Petviashvili (KP) and (2+1)-dimensional Boussinesq equations. The interaction solution between one soliton and one resonant soliton solution for the (3+1)-dimensional KP equation is obtained with CTE method. The interaction solutions among one soliton and cnoidal waves for these two equations are also explicitly given. These interaction solutions are investigated in both analytical and graphical ways. It demonstrates that the interactions between one soliton and cnoidal waves are elastic with phase shifts.


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Bo Ren. Jun Yu. Xi-Zhong Liu. "New Interaction Solutions of (3+1)-Dimensional KP and (2+1)-Dimensional Boussinesq Equations." Abstr. Appl. Anal. 2015 1 - 7, 2015.


Published: 2015
First available in Project Euclid: 17 August 2015

zbMATH: 06929063
MathSciNet: MR3372882
Digital Object Identifier: 10.1155/2015/213847

Rights: Copyright © 2015 Hindawi

Vol.2015 • 2015
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