Title of article :
Approximate symmetry group analysis and similarity reductions of the perturbed mKdV-KS equation
Author/Authors :
Jafari ، Mehdi Department of Mathematics - Payame Noor University , Darvazebanzade ، Razie Department of Mathematics - Payame Noor University
Abstract :
In this paper, we apply the approximate symmetry transformation group to obtain the approximate symmetry group of the perturbed mKdV-KS equation which is a modified Korteweg-de Vries (mKdV) equation with a higher singularity perturbed term as the Kuramoto-Sivashinsky (KS) equation. Also, an optimal system of one-dimensional subalgebras of symmetry algebra is constructed and the corresponding differential invariants and some approximately invariant solutions of the equation are computed.
Keywords :
Perturbed mKdV , KS equation , Approximate symmetry , Approximately invariant solution , Optimal system.
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
