Nonholonomic deformation of KdV and mKdV equations and their symmetries, hierarchies and integrability

Details Nonholonomic deformation of KdV and mKdV equations and their symmetries, hierarchies and integrability Nonholonomic deformation of KdV and mKdV equations and their symmetries, hierarchies and integrability

2008-11-06

arxiv.org/abs/0811.0924v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 2 figures, 16 pages. Revised with more explanations after Referees' feedback.To be published in J. Phys. A

Scientific paper

10.1088/1751-8113/42/11/115213

Recent concept of integrable nonholonomic deformation found for the KdV equation is extended to the mKdV equation and generalized to the AKNS system. For the deformed mKdV equation we find a matrix Lax pair, a novel two-fold integrable hierarchy and exact N-soliton solutions exhibiting unusual accelerating motion. We show that both the deformed KdV and mKdV systems possess infinitely many generalized symmetries, conserved quantities and a recursion operator.

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