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

Qian Su-ping | Zendy; Xin Li | Zendy

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

Author(s) -

Qian Su-ping,

Xin Li

Publication year - 2013

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2013/282390

Subject(s) - korteweg–de vries equation , homogeneous space , recursion (computer science) , symmetry (geometry) , operator (biology) , mathematics , inverse , transformation (genetics) , pure mathematics , mathematical physics , algebra over a field , physics , nonlinear system , quantum mechanics , algorithm , geometry , biochemistry , chemistry , repressor , transcription factor , gene

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

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