TY - JOUR
A2 - Campoamor-Stursberg, Rutwig
AU - Nadjafikhah, M.
AU - Mokhtary, A.
PY - 2013
DA - 2013/02/07
TI - Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations
SP - 568632
VL - 2013
AB - 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.
SN - 1687-9120
UR - https://doi.org/10.1155/2013/568632
DO - 10.1155/2013/568632
JF - Advances in Mathematical Physics
PB - Hindawi Publishing Corporation
KW -
ER -