@book{AST_1985__123__1_0, author = {Kupershmidt, B. A.}, title = {Discrete {Lax} equations and differential-difference calculus}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {123}, year = {1985}, mrnumber = {785802}, zbl = {0565.58024}, language = {en}, url = {http://www.numdam.org/item/AST_1985__123__1_0/} }
Kupershmidt, B. A. Discrete Lax equations and differential-difference calculus. Astérisque, no. 123 (1985), 220 p. http://numdam.org/item/AST_1985__123__1_0/
1. Differential equations for the Baker-Akhiezer functions of algebraic curves," Funct. Anal. Appl. 12: 3 (1978), 45-54 (Russian) ; 195-203 (English). | Zbl | MR | DOI
, "2. Equations of KdV type and simple Lie algebras," Dokl. Akad. Nauk SSSR 258 (1981), 11-16 (Russian) | MR | Zbl
and , "Equations of KdV type and simple Lie algebras, Sov. Math. Dokl. 23 (1981), 457-462 (English). | Zbl
and , "3. Construction of conservation laws for Lax equations: comments on a paper by G. Wilson", Quart. J. Math. Oxford (2) (to appear). | Zbl | MR
, "4. The moment map and collective motion," Ann. Phys. 127 (1980), 220-253. | MR | Zbl | DOI
and , "5. Geometry of Jet bundles and the structure of Lagrangian and Hamiltonian formalisms," Lect. Notes Math. v.775 (1980), 162-218, Springer. | MR | Zbl
, "6. On algebraic models of dynamical systems," Lett. Math. Phys. 6 (1982), 85-89. | MR | Zbl | DOI
, "7. On the nature of the Gardner transformation," J. Math. Phys. 22 (1981), 449-451. | MR | Zbl | DOI
, "8. Korteweg-de Vries surfaces and Bäcklund curves," J. Math. Phys. 23 (1982), 1427-1432. | MR | Zbl | DOI
, "9. Modifying Lax equations and the second Hamiltonian structure," Invent. Math. 62 (1981), 403-436. | MR | Zbl | EuDML | DOI
and , "10. Algebraic aspects of nonlinear differential equations, "Itogi Nauki i Tekniki, ser. Sovremennye Problemi Mathematiki 11 (1978), 5-152 (Russian) | Zbl
, "Algebraic aspects of nonlinear differential equations, J. Sov. Math. 11 (1979), 1-122 (English). | Zbl | DOI
, "11. Wave propagation in anharmonic lattices," J. Phys. Soc. Japan 23 (1967), 501-506. | DOI
, "12. Commuting flows and conservation laws for Lax equations," Math. Proc. Camb, Phil. Soc. 86 (1979), 131-143. | MR | Zbl | DOI
, "13. On two constructions of conservation laws for Lax equations," Quart. J. Math. Oxford (2), 32 (1981), 491-512. | MR | Zbl | DOI
, "14. The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras," Ergod. Th. & Dynam. Syst. 1 (1981), 361-380. | MR | Zbl | DOI
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