Symmetry reductions and exact solutions of a variable coefficient (2+1)-Zakharov-Kuznetsov equation

International Journal of Physical Sciences

L. D. Moleleki¹ 

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

DOI  :  10.5897/IJPS11.1325

学科分类：物理（综合）

来源: Academic Journals

【 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 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 underlying equation.

【 授权许可】

CC BY