Symmetry Reductions and Exact Solutions of a Variable Coefficient (2+1)-Zakharov-Kuznetsov Equation
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
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Math. Comput. Appl. 2012, 17(2), 132-139; https://doi.org/10.3390/mca17020132
Published: 1 August 2012
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.
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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 StyleMoleleki, 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
