Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations
Analysis of PDEs
2014-08-01 v1 Mathematical Physics
Differential Geometry
math.MP
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.
Cite
@article{arxiv.1212.3605,
title = {Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations},
author = {Mehdi Nadjafikhah and Ardavan Mokhtary},
journal= {arXiv preprint arXiv:1212.3605},
year = {2014}
}