Travelling waves and conservation laws of a (2+1)-dimensional coupling system with Korteweg-de Vries equation-Reference-Cited by-同舟云学术

Travelling waves and conservation laws of a (2+1)-dimensional coupling system with Korteweg-de Vries equation

Published:2018-06-01 Issue:1 Volume:3 Page:241-254
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Khalique Chaudry Masood¹,Mhlanga Isaiah Elvis¹

Affiliation:

1. International Institute for Symmetry Analysis and Mathematical Modelling Department of Mathematical Sciences , North-West University , Mafikeng Campus Private Bag X 2046 , Mmabatho , 2735 , Republic of South Africa

Abstract

Abstract In this paper we study a (2+1)-dimensional coupling system with the Korteweg-de Vries equation, which is associated with non-semisimple matrix Lie algebras. Its Lax-pair and bi-Hamiltonian formulation were obtained and presented in the literature. We utilize Lie symmetry analysis along with the (G′/G)–expansion method to obtain travelling wave solutions of this system. Furthermore, conservation laws are constructed using the multiplier method.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.21042/AMNS.2018.1.00018

Reference38 articles.

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2. W. X. Ma and B. Fuchssteiner. The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy. Phys. Lett. A, 213:49–55, 1996. 10.1016/0375-9601(96)00112-010.1016/0375-9601(96)00112-0

3. A. M. Wazwaz. Integrability of coupled KdV equations. Cent. Eur. J. Phy., 9:835–840, 2011. 10.2478/s11534-010-0084-y

4. A. M. Wazwaz. Partial Differential Equations and Solitary Waves Theory. Springer, New York, 2009. 10.1007/978-3-642-00251-9

5. A. R. Adem and C. M. Khalique. On the solutions and conservation laws of a coupled KdV system. Appl. Math. Comput., 219:959–969, 2012. 10.1016/j.amc.2012.06.076

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