New Interaction Solutions of (3+1)-Dimensional KP and (2+1)-Dimensional Boussinesq Equations. (16th July 2015)

• Record Type: Journal Article
• Authors: Ren, Bo; Yu, Jun; Liu, Xi-Zhong
• Other Names: Gasinski Leszek Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2015(2015)
• Publication Date: 2015-07-16
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2015/213847
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : 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.