Title of article
SYMMETRY REDUCTIONS AND EXACT SOLUTIONS OF A VARIABLE COEFFICIENT (2+1)-ZAKHAROV-KUZNETSOV EQUATION
Author/Authors
Moleleki, L. D. North-West University, Mafikeng Campus - Department of Mathematical Sciences, South Africa , Johnpillai, A. G. North-West University, Mafikeng Campus - Department of Mathematical Sciences, South Africa , Khalique, C. M. North-West University, Mafikeng Campus - Department of Mathematical Sciences, South Africa
From page
132
To page
139
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
Journal title
mathematical and computational applications
Journal title
mathematical and computational applications
Record number
2569183
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