George Chavchanidze 2004 J. Phys. A: Math. Gen. 37 2253 doi:10.1088/0305-4470/37/6/020
George Chavchanidze
Show affiliationsIn 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.
Issue 6 (13 February 2004)
Received 27 August 2003
Published 28 January 2004
George Chavchanidze 2004 J. Phys. A: Math. Gen. 37 2253
Yu A Bychkov et al 1998 J. Phys.: Condens. Matter 10 2029
A Gordon and I D Vagner 1990 J. Phys.: Condens. Matter 2 3687
1930 J. Sci. Instrum. 7 397
Ronald W Hellings 2003 Class. Quantum Grav. 20 1019
Luo Shao-kai et al 2001 Chinese Phys. 10 271
M A El Hiti 1996 J. Phys. D: Appl. Phys. 29 501
A N F Aleixo et al 2001 J. Phys. A: Math. Gen. 34 1109
R E Olson 1982 J. Phys. B: At. Mol. Phys. 15 L163
Ch Jooss et al 2002 Rep. Prog. Phys. 65 651