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arXiv · 1212.3605

Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations

Mehdi Nadjafikhah·Ardavan Mokhtary
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Abstract

In this paper, the method of approximate transformation groups which was proposed by Baikov, Gazizov and Ibragimov, is extended on Hamiltonian and bi-Hamiltonian systems of evolution equations. Indeed, as a main consequence, this extended procedure is applied in order to compute the approximate conservation laws and approximate recursion operators corresponding to these types of equations. In particular, as an application, a comprehensive analysis of the problem of approximate conservation laws and approximate recursion operators associated to the Gardner equation with the small parameters is presented.

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Mehdi Nadjafikhah, Ardavan Mokhtary. 2012-12-14. Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations. https://doi.org/10.1155/2013%2F568632

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