Soliton solutions for the positive Gardner-KP equation by (G′/G, 1/G) – Expansion method

The (G′/G, 1/G) – expansion method is one of the most direct and effective method for obtaining abundant new traveling wave solutions of nonlinear partial differential equations. In this article, we construct exact soliton solutions of nonlinear evolution equation via positive Gardner-KP equation by...

Full description

Bibliographic Details
Main Authors: Muhammad Shakeel, Syed Tauseef Mohyud-Din
Format: Article
Language:English
Published: Elsevier 2014-09-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447914000331
Description
Summary:The (G′/G, 1/G) – expansion method is one of the most direct and effective method for obtaining abundant new traveling wave solutions of nonlinear partial differential equations. In this article, we construct exact soliton solutions of nonlinear evolution equation via positive Gardner-KP equation by using (G′/G, 1/G) – expansion method, where G(ξ) satisfies the auxiliary ordinary differential equation (ODE) G″(ξ)+λG(ξ)=μ; λ and μ are arbitrary constants. The three type of the solutions are found as, hyperbolic, trigonometric and rational function form involving more parameters and some of our constructed solutions are identical with results obtained by other authors if certain parameters take special values.
ISSN:2090-4479