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

Mathematical and Computational Applications

Moleleki, L. D.¹ 

关键词: Generalized ZK equation;    solitons;    Lie symmetries;    optimal system;    symmetry reduction;    group-invariant solutions;   

DOI  :  10.3390/mca17020132

学科分类：计算数学

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY