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

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 co...

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Main Author: Chaudry Masood Khalique
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/741780
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author Chaudry Masood Khalique
author_facet Chaudry Masood Khalique
author_sort Chaudry Masood Khalique
collection DOAJ
description 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.
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publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-e72f7f1983da4d9d890b4ca4f75c46432025-02-03T07:24:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/741780741780On the Solutions and Conservation Laws of a Coupled Kadomtsev-Petviashvili EquationChaudry Masood Khalique0Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaA 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.http://dx.doi.org/10.1155/2013/741780
spellingShingle Chaudry Masood Khalique
On the Solutions and Conservation Laws of a Coupled Kadomtsev-Petviashvili Equation
Journal of Applied Mathematics
title On the Solutions and Conservation Laws of a Coupled Kadomtsev-Petviashvili Equation
title_full On the Solutions and Conservation Laws of a Coupled Kadomtsev-Petviashvili Equation
title_fullStr On the Solutions and Conservation Laws of a Coupled Kadomtsev-Petviashvili Equation
title_full_unstemmed On the Solutions and Conservation Laws of a Coupled Kadomtsev-Petviashvili Equation
title_short On the Solutions and Conservation Laws of a Coupled Kadomtsev-Petviashvili Equation
title_sort on the solutions and conservation laws of a coupled kadomtsev petviashvili equation
url http://dx.doi.org/10.1155/2013/741780
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