Non-Noether symmetries in integrable models

Details Non-Noether symmetries in integrable models Non-Noether symmetries in integrable models

2003-07-09

arxiv.org/abs/math-ph/0307018v2

J. Phys. A: Math. Gen. 37 (2004) 2253--2260

Physics

Mathematical Physics

LaTeX 2e article, 10 pages, no figures

Scientific paper

10.1088/0305-4470/37/6/020

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.

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