Computation of generating symmetries

Abstract

In this article we continue to develop the theory of generating symmetries for integrable equations. A technique for computation of generating symmetries using Maple is presented. The technique is based on the standard symmetry method. By using it we find generating symmetries for the KdV, Camassa-Holm, mKdV, sine-Gordon, Boussinesq, associated Degasperis-Procesi and associated Novikov equations.

17 pages

References in corpus (3)

• New results on group classification of nonlinear diffusion-convection equations
• Enhanced Group Analysis and Exact Solutions of Variable Coefficient Semilinear Diffusion Equations with a Power Source
• Four Symmetries of the KdV equation

Cited by in corpus (2)

• Four Symmetries of the KdV equation
• Symmetry structure of integrable hyperbolic third order equations