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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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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. |
format | Article |
id | doaj-art-e72f7f1983da4d9d890b4ca4f75c4643 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
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 |
work_keys_str_mv | AT chaudrymasoodkhalique onthesolutionsandconservationlawsofacoupledkadomtsevpetviashviliequation |