Soliton solution and bifurcation analysis of the KP–Benjamin–Bona–Mahoney equation with power law nonlinearity
Articles
Ming Song
Shaoxing University; Yuxi Normal University, China
Zhengrong Liu
South China University of Technology, China
Anjan Biswas
Delaware State University, USA; King Abdulaziz University, Saudi Arabia
Published 2015-07-20
https://doi.org/10.15388/NA.2015.3.7
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Keywords

KP–BBM equation
bifurcation phase portraits
traveling wave solutions

How to Cite

Song M., Liu Z. and Biswas A. (2015) “Soliton solution and bifurcation analysis of the KP–Benjamin–Bona–Mahoney equation with power law nonlinearity”, Nonlinear Analysis: Modelling and Control, 20(3), pp. 417-427. doi: 10.15388/NA.2015.3.7.

Abstract

This paper studies the Kadomtsev–Petviashvili–Benjamin–Bona–Mahoney equation with power law nonlinearity. The traveling wave solution reveals a non-topological soliton solution with a couple of constraint conditions. Subsequently, the dynamical system approach and the bifurcation analysis also reveals other types of solutions with their corresponding restrictions in place.

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