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Non-Noether symmetries in integrable models

Mathematical Physics 2007-05-23 v2 Dynamical Systems math.MP Symplectic Geometry

Abstract

In the present paper the non-Noether symmetries of the Toda model, nonlinear Schodinger equation and Korteweg-de Vries equations (KdV and mKdV) are discussed. It appears that these symmetries yield the complete sets of conservation laws in involution and lead to the bi-Hamiltonian realizations of the above mentioned models.

Keywords

Cite

@article{arxiv.math-ph/0307018,
  title  = {Non-Noether symmetries in integrable models},
  author = {George Chavchanidze},
  journal= {arXiv preprint arXiv:math-ph/0307018},
  year   = {2007}
}

Comments

LaTeX 2e article, 10 pages, no figures