Order Reduction and μ-Conservation Law for the Non-Isospectral KdV Type Equation a with Variable-Coefficients

Subject Areas : Applied Mathematics

Khodayar Goodarzi ^{1 *}

1 - Department of Mathematics, Broujerd Branch, Islamic Azad University, Broujerd, Iran.

Received: 2017-06-03 Accepted : 2018-01-10 Published : 2018-05-01

Keywords: Symmetry, Variational problem, Order reduction, μ-Symmetry, μ-Conservation Law,

Abstract :

The goal of this paper is to calculate of order reduction of the KdV typeequation and the non-isospectral KdV type equation using the μ-symmetrymethod. Moreover we obtain μ-conservation law of the non-isospectral KdVtype equation using the variational problem method.