Master symmetries and bi-Hamiltonian structures for the relativistic Toda lattice

Journal of Physics A: Mathematical and General

Volumn 30, Issue 21, 1997, Pages 7551-7556

  Nunes Da Costa, J M ^a   Marle, C M ^b  

^a UNIVERSITY OF COIMBRA   (Portugal)

^b INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031558679     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/21/025     Document Type: Article

References (13)

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3. Bruschi M and Ragnisco O 1989 Lax representations and complete integrability for the periodic relativistic Toda lattice Phys. Lett. A 134 365
4. Oevel W, Fuchssteiner B, Zhang H and Ragnisco O 1989 Mastersymmetrics, angle variables, and recursion operator of the relativistic Toda lattice J. Math. Phys. 30 2664
5. Suris Yu B 1993 On the bi-Hamiltonian structure of Toda and relativistic Toda lattices Phys. Lett. A 180 419
6. Damianou P 1994 Multiple Hamiltonian structures for Toda systems J. Math. Phys. 35 5511
7. Fernandes R L 1993 On the master symmetries and bi-Hamiltonian structure of the Toda lattice J. Phys. A: Math. Gen. 26 3797
8. Oevel W 1987 A geometrical approach to integrable systems admitting time dependent invariants Topics in Soliton Theory and Exactly Solvable Nonlinear Equations ed M Ablowitz, B Fuchssteiner and M Kruskal (Singapore: World Scientific)
9. Fokas A S and Fuchssteiner B 1981 The hierarchy of Benjamin-Ono equations Phys. Lett. 86A 341
10. Oevel W and Fuchssteiner B 1982 Explicit formulas for Symmetries and conservation laws of the Kadomtsev-Petviashvili equation Phys. Lett. 88A 323
11. Fuchssteiner B 1983 Mastersymmetries and higher order time-dependent symmetries and conserved densities of nonlinear evolution equations Prog. Theor: Phys. 70 1508
12. Magri F and Morosi C 1984 A geometrical characterisation of integrable Hamiltonian systems through the theory of Poisson-Nijenhuis manifolds Quaderno S 19 Università de Milano
13. Nunes da Costa J M and Marle C-M 1996 Reduction of bihamiltonian manifolds and recursion operators Differential Geometry and Applications (Proc 6th Int. Conf., Brno. 28 August-1 September 1995) ed J Janyška, I Kolář and J Slovák (Brno: Masaryk University) pp 523-38