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Non-Noether symmetries in integrable models

George Chavchanidze 2004 J. Phys. A: Math. Gen. 37 2253-2260   doi: 10.1088/0305-4470/37/6/020  Help

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George Chavchanidze
Department of Theoretical Physics, A Razmadze Institute of Mathematics, 1 Aleksidze Street, Tbilisi 0193, Georgia

Abstract. In the present paper the non-Noether symmetries of the Toda model, nonlinear Schrödinger 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.

PACS numbers: 02.30.Ik, 05.45.Yv

Mathematics Subject Classification: 70H33, 70H06, 58J70, 53Z05, 35A30

Print publication: Issue 6 (13 February 2004)
Received 27 August 2003
Published 28 January 2004

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