Computation of generating symmetries

Alexander G. Rasin

doi:10.1016/j.cnsns.2022.107003

Computation of generating symmetries

Alexander G. Rasin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Article number	107003
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	118
DOIs	https://doi.org/10.1016/j.cnsns.2022.107003
State	Published - Apr 2023

Keywords

Integrable equation
KdV
Maple
Symmetries

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10.1016/j.cnsns.2022.107003

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title = "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.",

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AB - 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.

KW - Integrable equation

KW - KdV

KW - Maple

KW - Symmetries

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JO - Communications in Nonlinear Science and Numerical Simulation

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ER -

Computation of generating symmetries

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Keywords

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