Conservation laws and symmetries of time-dependent generalized KdV equations

Stephen Anco; Maria Rosa; Maria Luz Gandarias

doi:10.3934/dcdss.2018035

Article Contents

2018, Volume 11, Issue 4: 607-615. Doi: 10.3934/dcdss.2018035

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Conservation laws and symmetries of time-dependent generalized KdV equations

a.
Department of Mathematics and Statistics, Brock University, St. Catharines, Canada
b.
Departamento de Matemáticas, Universidad de Cádiz, Polígono del Río San Pedro s/n 11510 Puerto Real, Cádiz, Spain

* Corresponding author: M. L. Gandarias
* Corresponding author: M. L. Gandarias

Received: December 31, 2016

Revised: April 30, 2017

Published: August 2018

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Abstract

A complete classification of low-order conservation laws is obtained for time-dependent generalized Korteweg-de Vries equations. Through the Hamiltonian structure of these equations, a corresponding classification of Hamiltonian symmetries is derived. The physical meaning of the conservation laws and the symmetries is discussed.

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Mathematics Subject Classification: 37K05, 76M60, 35Q53.

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References

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