Symmetries, reductions and exact solutions of KdV-Zakharov-Kuznetsev equation

Abstract

Abstract: By applying a direct symmetry method, the symmetry reduction, group invariant solution and many new exact solutions of the modified KdV-Zakharov-Kuznetsev equation (mKdV-ZK for short) are obtained, which include Jacobi elliptic function solutions, hyperbolic function solutions, trigonometric function solutions and so on. The conservation laws are derived at last.

Key words: nonlinear equation, mKdV-ZK equation, direct symmetry method, symmetry reduction, exact solution, conservation laws

CLC Number:

O175.2

YU Xingjiang. Symmetries, reductions and exact solutions of KdV-Zakharov-Kuznetsev equation[J]. J4, 2014, 31(6): 670-677.

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