most citedApproximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations

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math.AP2012★ 3 cited

Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations

Mehdi Nadjafikhah, Ardavan Mokhtary

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 evoluti…

math.AP2012

Geometric study of Gardner equation

Mehdi Nadjafikhah, Ardavan Mokhtary

In this paper, we apply the method of approximate transformation groups proposed by Baikov, Gaziziv and Ibragimov, to compute the first-order approximate symmetry for the Gardner e…