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Applied mathematics for nonlinear integrable systems. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, July 26–28, 1995. (English, Japanese) Zbl 0894.58028

Contents: Kenji Kajiwara, Discrete nonlinear integrable systems and their applications (Japanese) (1-15); Humihiko Watanabe, Algebraic function solutions to Painlevé equations (Japanese) (16-21); Taro Nagao, Mathematics of random matrices and orthogonal polynomials (Japanese) (22-34); Makoto Torii, The solution of Toda equation and dimensional functions (35-43); Atsushi Nagai and Junkichi Satsuma, Acceleration methods and discrete soliton equations (44-60); Isao Nakayama, Acceleration methods for convergence of continued fraction expansions and probability distribution functions (Japanese) (61-72); Daisuke Takahashi and Junta Matsukidaira, On a discrete soliton equation of Toda-type related to a cellular automaton (73-84); Masao Ishikawa and Masato Wakayama, Minor summation formula and applications, discrete Fourier transforms (85-104); S. Tsujimoto and R. Hirota, Conserved quantities of nonlinear difference equations (Japanese) (105-112); Shozo Takeno, Localised modes in nonlinear lattices—nonlinearity, spatial discontinuities and the dimensions of space (Japanese) (113-123); M. Peyrard and O. M. Braun, Bifurcations in a generalized Frenkel Kontorova model (124-140); Takao Yoshinaga, Painlevé properties and integrability of the long- and short-wave interaction equation (141-152); Yuji Ishimori, Symmetric polynomials of shift operators and difference methods (Japanese) (153-165); Junji Suzuki, Pole-free conditions in solvable lattice models and their relations to determinant representations of fusion transfer matrices—solution to a certain family of discrete Toda field equations (166-182); Yuji Kodama and Jian Ye, The generalized Toda lattice equation on semisimple Lie algebras (183-202); Yoshimasa Nakamura, Families of probability distributions and integrable transformations of orthogonal polynomials—the relationship between moment problems and tau functions (Japanese) (203-215).
The articles of this volume will not be indexed individually.

MSC:

37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
00B25 Proceedings of conferences of miscellaneous specific interest
58-06 Proceedings, conferences, collections, etc. pertaining to global analysis
35Q58 Other completely integrable PDE (MSC2000)
35-06 Proceedings, conferences, collections, etc. pertaining to partial differential equations