Next Article in Journal
On the Numerical Solution of Fractional Partial Differential Equations
Previous Article in Journal
A Collocation Method for a Class of Nonlinear Singular Integral Equations with a Carleman Shift
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
MCA
Volume 17
Issue 2
10.3390/mca17020132
mca-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Symmetry Reductions and Exact Solutions of a Variable Coefficient (2+1)-Zakharov-Kuznetsov Equation

by
L. D. Moleleki
*,
A. G. Johnpillai
* and
C. M. Khalique
*
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
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2012, 17(2), 132-139; https://doi.org/10.3390/mca17020132
Published: 1 August 2012
Versions Notes

Abstract

We study the generalized (2+1)-Zakharov-Kuznetsov (ZK) equation of time dependent variable coefficients from the Lie group-theoretic point of view. The Lie point symmetry generators of a special form of the class of equations are derived. We classify the Lie point symmetry generators to obtain the optimal system of onedimensional subalgebras of the Lie symmetry algebras. These subalgebras are then used to construct a number of symmetry reductions and exact group-invariant solutions to the underlying equation.
Keywords: Generalized ZK equation; solitons; Lie symmetries; optimal system; symmetry reduction; group-invariant solutions Generalized ZK equation; solitons; Lie symmetries; optimal system; symmetry reduction; group-invariant solutions

Share and Cite

MDPI and ACS Style

Moleleki, L.D.; Johnpillai, A.G.; Khalique, C.M. Symmetry Reductions and Exact Solutions of a Variable Coefficient (2+1)-Zakharov-Kuznetsov Equation. Math. Comput. Appl. 2012, 17, 132-139. https://doi.org/10.3390/mca17020132

AMA Style

Moleleki LD, Johnpillai AG, Khalique CM. Symmetry Reductions and Exact Solutions of a Variable Coefficient (2+1)-Zakharov-Kuznetsov Equation. Mathematical and Computational Applications. 2012; 17(2):132-139. https://doi.org/10.3390/mca17020132

Chicago/Turabian Style

Moleleki, L. D., A. G. Johnpillai, and C. M. Khalique. 2012. "Symmetry Reductions and Exact Solutions of a Variable Coefficient (2+1)-Zakharov-Kuznetsov Equation" Mathematical and Computational Applications 17, no. 2: 132-139. https://doi.org/10.3390/mca17020132

APA Style

Moleleki, L. D., Johnpillai, A. G., & Khalique, C. M. (2012). Symmetry Reductions and Exact Solutions of a Variable Coefficient (2+1)-Zakharov-Kuznetsov Equation. Mathematical and Computational Applications, 17(2), 132-139. https://doi.org/10.3390/mca17020132

Article Metrics

Back to TopTop