Graded Lie algebras, representation theory, integrable mappings, and integrable systems

Theoretical and Mathematical Physics

Volumn 122, Issue 2, 2000, Pages 211-228

  Leznov, A N ^a,b  

^a INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

^b INSTITUTE FOR HIGH ENERGY PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034348918     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02551198     Document Type: Article

References (28)

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13. 9. V. B. Derjagin, A. N. Leznov, and E. A. Yuzbashjan, "The two-dimensional integrable mappings and hierarchies of integrable systems," Preprint MPI-96-40; MPI, Bonn (1996).
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17. 12. A. N. Leznov and E. A. Yuzbashjan, "Multi-soliton solution of two-dimensional matrix Davey-Stewartson equation," Preprint MPI-96-37, MPI, Bonn (1996); Nucl. Phys. B, 496 [PM], 643 (1997); Lett. Math. Phys., 35, 345 (1995).
18. 12. A. N. Leznov and E. A. Yuzbashjan, "Multi-soliton solution of two-dimensional matrix Davey-Stewartson equation," Preprint MPI-96-37, MPI, Bonn (1996); Nucl. Phys. B, 496 [PM], 643 (1997); Lett. Math. Phys., 35, 345 (1995).
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23. 15. V. E. Zakharov, S. V. Manakov, S. P. Novikov, L. P. Pitaevsky, Theory of Solitons: The Inverse Scattering Method [in Russian], Nauka, Moscow (1980); English transl.: S. P. Novikov, S. V. Manakov, L. P. Pitaevsky, and V. E. Zakharov, Plenum, New York (1984); L. A. Takhtadzhyan and L. D. Faddeev, The Hamiltonian Methods in the Theory of Solitons [in Russian], Nauka, Moscow (1986); English transl.: L. D. Faddeev and L. A. Takhtajan, Springer, Berlin (1987); P. J. Olver, Applications of Lie Groups to Differential Equations, Springer, New York (1986); L. A. Dickey, Soliton Equations and Hamiltonian Systems, World Scientific, London (1991).
24. 15. V. E. Zakharov, S. V. Manakov, S. P. Novikov, L. P. Pitaevsky, Theory of Solitons: The Inverse Scattering Method [in Russian], Nauka, Moscow (1980); English transl.: S. P. Novikov, S. V. Manakov, L. P. Pitaevsky, and V. E. Zakharov, Plenum, New York (1984); L. A. Takhtadzhyan and L. D. Faddeev, The Hamiltonian Methods in the Theory of Solitons [in Russian], Nauka, Moscow (1986); English transl.: L. D. Faddeev and L. A. Takhtajan, Springer, Berlin (1987); P. J. Olver, Applications of Lie Groups to Differential Equations, Springer, New York (1986); L. A. Dickey, Soliton Equations and Hamiltonian Systems, World Scientific, London (1991).
25. 15. V. E. Zakharov, S. V. Manakov, S. P. Novikov, L. P. Pitaevsky, Theory of Solitons: The Inverse Scattering Method [in Russian], Nauka, Moscow (1980); English transl.: S. P. Novikov, S. V. Manakov, L. P. Pitaevsky, and V. E. Zakharov, Plenum, New York (1984); L. A. Takhtadzhyan and L. D. Faddeev, The Hamiltonian Methods in the Theory of Solitons [in Russian], Nauka, Moscow (1986); English transl.: L. D. Faddeev and L. A. Takhtajan, Springer, Berlin (1987); P. J. Olver, Applications of Lie Groups to Differential Equations, Springer, New York (1986); L. A. Dickey, Soliton Equations and Hamiltonian Systems, World Scientific, London (1991).
26. 15. V. E. Zakharov, S. V. Manakov, S. P. Novikov, L. P. Pitaevsky, Theory of Solitons: The Inverse Scattering Method [in Russian], Nauka, Moscow (1980); English transl.: S. P. Novikov, S. V. Manakov, L. P. Pitaevsky, and V. E. Zakharov, Plenum, New York (1984); L. A. Takhtadzhyan and L. D. Faddeev, The Hamiltonian Methods in the Theory of Solitons [in Russian], Nauka, Moscow (1986); English transl.: L. D. Faddeev and L. A. Takhtajan, Springer, Berlin (1987); P. J. Olver, Applications of Lie Groups to Differential Equations, Springer, New York (1986); L. A. Dickey, Soliton Equations and Hamiltonian Systems, World Scientific, London (1991).
27. 15. V. E. Zakharov, S. V. Manakov, S. P. Novikov, L. P. Pitaevsky, Theory of Solitons: The Inverse Scattering Method [in Russian], Nauka, Moscow (1980); English transl.: S. P. Novikov, S. V. Manakov, L. P. Pitaevsky, and V. E. Zakharov, Plenum, New York (1984); L. A. Takhtadzhyan and L. D. Faddeev, The Hamiltonian Methods in the Theory of Solitons [in Russian], Nauka, Moscow (1986); English transl.: L. D. Faddeev and L. A. Takhtajan, Springer, Berlin (1987); P. J. Olver, Applications of Lie Groups to Differential Equations, Springer, New York (1986); L. A. Dickey, Soliton Equations and Hamiltonian Systems, World Scientific, London (1991).
28. 15. V. E. Zakharov, S. V. Manakov, S. P. Novikov, L. P. Pitaevsky, Theory of Solitons: The Inverse Scattering Method [in Russian], Nauka, Moscow (1980); English transl.: S. P. Novikov, S. V. Manakov, L. P. Pitaevsky, and V. E. Zakharov, Plenum, New York (1984); L. A. Takhtadzhyan and L. D. Faddeev, The Hamiltonian Methods in the Theory of Solitons [in Russian], Nauka, Moscow (1986); English transl.: L. D. Faddeev and L. A. Takhtajan, Springer, Berlin (1987); P. J. Olver, Applications of Lie Groups to Differential Equations, Springer, New York (1986); L. A. Dickey, Soliton Equations and Hamiltonian Systems, World Scientific, London (1991).