Nonholonomic deformation of KdV and mKdV equations and their symmetries, hierarchies and integrability
Anjan KunduTheory Group and CAMCS, Saha Institute of Nuclear Physics, Calcutta, IndiaR. SahadevanRamanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, Tamilnadu, IndiaL. NalinideviRamanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, Tamilnadu, India
2009en
ABI
Abstract
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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