On the Solutions and Conservation Laws of a Coupled Kadomtsev-Petviashvili Equation

Chaudry Masood Khalique

doi:10.1155/2013/741780

Journal of Applied Mathematics (Jan 2013)

On the Solutions and Conservation Laws of a Coupled Kadomtsev-Petviashvili Equation

Chaudry Masood Khalique

Affiliations

Chaudry Masood Khalique: Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa

DOI: https://doi.org/10.1155/2013/741780
Journal volume & issue: Vol. 2013

Abstract

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A coupled Kadomtsev-Petviashvili equation, which arises in various problems in many scientific applications, is studied. Exact solutions are obtained using the simplest equation method. The solutions obtained are travelling wave solutions. In addition, we also derive the conservation laws for the coupled Kadomtsev-Petviashvili equation.

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4185

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