Recursion Operator and Local and Nonlocal Symmetries of a New Modified KdV Equation

Qian Suping and Li Xin

Advances in Mathematical Physics, 2013, vol. 2013, issue 1

Abstract: The recursion operator of a new modified KdV equation and its inverse are explicitly given. Acting the recursion operator and its inverse on the trivial symmetry 0 related to the identity transformation, the infinitely many local and nonlocal symmetries are obtained. Using a closed finite dimensional symmetry algebra with both local and nonlocal symmetries of the original model, some symmetry reductions and exact solutions are found.

Date: 2013
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https://doi.org/10.1155/2013/282390

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:282390

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