Computation of generating symmetries

TL;DR

This paper develops a Maple-based technique to compute generating symmetries for various integrable equations, advancing the theoretical understanding and providing practical computational tools for symmetry analysis.

Contribution

It introduces a new Maple-based method for calculating generating symmetries of integrable equations, expanding the toolkit for symmetry analysis in mathematical physics.

Findings

Generated symmetries for KdV, mKdV, sine-Gordon, and other equations.

Demonstrated the effectiveness of the Maple technique.

Enhanced the computational approach to symmetry analysis.

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.