Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations

M. Nadjafikhah and A. Mokhtary

Advances in Mathematical Physics, 2013, vol. 2013, 1-9

Abstract:

The method of approximate transformation groups, which was proposed by Baikov et al. (1988 and 1996), 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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:568632

DOI: 10.1155/2013/568632

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