Non-Noether symmetries in integrable models

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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.
LaTeX 2e article, 10 pages, no figures

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Mathematical Physics, Dynamical Systems, Symplectic Geometry, 70H33, 70H06, 58J70, 53Z05, 35A30

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http://salesiana.dossiersoluciones.com/handle/123456789/57440

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0307018
 http://arxiv.org/abs/math-ph/0307018
 J. Phys. A: Math. Gen. 37 (2004) 2253--2260
 doi:10.1088/0305-4470/37/6/020

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arXiv