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August  2018, 11(4): 607-615. doi: 10.3934/dcdss.2018035

## 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

Received  January 2017 Revised  May 2017 Published  November 2017

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.

Citation: Stephen Anco, Maria Rosa, Maria Luz Gandarias. Conservation laws and symmetries of time-dependent generalized KdV equations. Discrete & Continuous Dynamical Systems - S, 2018, 11 (4) : 607-615. doi: 10.3934/dcdss.2018035
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