Title of article :
Order Reduction, m-Symmetry and m-Conservation Law of The Generalized mKdV Equation with Constant-coefficients and Variable-coefficients
Author/Authors :
Goodarzi, Kh. Department of Mathematics - Islamic Azad University Borujerd Branch, Borujerd, Iran
Abstract :
The goal of this paper is to calculate the order reduction of the generalized mKdV equation
with constant-coefficients (gmKdVcc) and the generalized mKdV equation with variable-coefficients
(gmKdVvc) using the m-symmetry method. Moreover we obtain Lagrangian and m-conservation law
of the gmKdVcc equation and the gmKdVvc equation using the variational problem method.
Keywords :
Symmetry , m-symmetry , m-conservation law , Variational problem , Order reduction
Journal title :
International Journal of Industrial Mathematics(IJIM)