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

L. Moleleki, A. Johnpillai, C. Khalique
2012 Mathematical and Computational Applications  
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 one-dimensional 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
more » ... lutions to the underlying equation.
doi:10.3390/mca17020132 fatcat:dvkqvyr3trbhfen2y3oac55dj4