The first integral method and traveling wave solutions to Davey–Stewartson equation

Hossein Jafari; Atefe Sooraki; Yahya Talebi; Anjan Biswas

doi:10.15388/NA.17.2.14067

Articles

Hossein Jafari

University of Mazandaran, Iran

Atefe Sooraki

University of Mazandaran, Iran

Yahya Talebi

University of Mazandaran, Iran

Anjan Biswas

Delaware State University, USA

Published 2012-04-25

https://doi.org/10.15388/NA.17.2.14067

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Keywords

first integral method
Davey–Stewartson equations
exact solutions

How to Cite

Jafari, H. (2012) “The first integral method and traveling wave solutions to Davey–Stewartson equation”, Nonlinear Analysis: Modelling and Control, 17(2), pp. 182–193. doi:10.15388/NA.17.2.14067.

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Abstract

In this paper, the first integral method will be applied to integrate the Davey–Stewartson’s equation. Using this method, a few exact solutions will be obtained using ideas from the theory of commutative algebra. Finally, soliton solution will also be obtained using the traveling wave hypothesis.

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