Compacton, Peakon and Solitary Wave Solutions of the Osmosis  K (3,2) Equation

Junde Chen; Jing Chen; Jiangbo Zhou

doi:10.9734/JSRR/2015/14958

Research Article Open access CC BY 4.0

Compacton, Peakon and Solitary Wave Solutions of the Osmosis K (3,2) Equation

Junde Chen, Jing Chen, Jiangbo Zhou

Journal of Scientific Research and Reports · pp. 275–284 · Published 27 Dec 2014

10.9734/JSRR/2015/14958

Abstract

In this paper, the bifurcation method of planar systems and simulation method of differential equations are employed to investigate the bounded traveling wave solutions of the osmosis K (3,2) equation. Our results show that this equation admits a variety of physical solutions such as compacton, peakon and smooth solitary wave solutions.

K (3,2) equation compacton peakon solitary wave solution bifurcation method.

References (8)

1 Exp-function method for nonlinear wave equations [DOI]
2 Homotopy Perturbation Method for Bifurcation of Nonlinear Problems [DOI]
3 Bifurcation Theory and Methods of Dynamical Systems [DOI]
4 A numerical study of compactons [DOI]
5 Compactons and solitary patterns structures for variants of the KdV and the KP equations [DOI]
6 The bifurcation and peakon for K(2,2) equation with osmosis dispersion [DOI]
7 New exact travelling wave solutions for the equation with osmosis dispersion [DOI]
8 The Traveling Wave Solutions and Their Bifurcations for the BBM-Like B(m,n) Equations [DOI]

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Junde Chen, Jing Chen, Jiangbo Zhou (2014). Compacton, Peakon and Solitary Wave Solutions of the Osmosis K (3,2) Equation. Journal of Scientific Research and Reports , 275–284. https://doi.org/10.9734/JSRR/2015/14958

Affiliations

Junde Chen — Department of Mathematics, Jiangsu University, Zhenjiang, Jiangsu 212013, P.R. China.
Jing Chen — Department of Mathematics, Jiangsu University, Zhenjiang, Jiangsu 212013, P.R. China.
Jiangbo Zhou — Department of Mathematics, Jiangsu University, Zhenjiang, Jiangsu 212013, P.R. China.

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