Direct and inverse methods in nonlinear evolution equations: lectures given at the C.I.M.E. summer school held in Cetraro, Italy, September 5-12, 1999 / Antonio M. Greco

Collectivité principale: Centro internazionale matematico estivo (CIME), Cetraro, Italy (1999) Auteur secondaire : Greco, Antonio M. (1941-) - Editeur scientifiqueType de document: Livre numériqueCollection: Lecture notes in physics, (Online) ; 632Langue: anglaisÉditeur: Berlin : Springer, 2003 ISBN: 9783540200871 Note: Contents: Robert Conte, Exact solutions of nonlinear partial differential equations by singularity analysis (1–83); Franco Magri, Gregorio Falqui and Marco Pedroni, The method of Poisson pairs in the theory of nonlinear PDEs (85–136); Micheline Musette, Nonlinear superposition formulae of integrable partial differential equations by the singular manifold method (137–170); Junkichi Satsuma, Hirota bilinear method for nonlinear evolution equations (171–222); Pavel Winternitz, Lie groups, singularities and solutions of nonlinear partial differential equations (223–273). Sujets MSC: 35-06 Partial differential equations -- Proceedings, conferences, collections, etc
37-06 Dynamical systems and ergodic theory -- Proceedings, conferences, collections, etc
37K10 Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies
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Contents: Robert Conte, Exact solutions of nonlinear partial differential equations by singularity analysis (1–83); Franco Magri, Gregorio Falqui and Marco Pedroni, The method of Poisson pairs in the theory of nonlinear PDEs (85–136); Micheline Musette, Nonlinear superposition formulae of integrable partial differential equations by the singular manifold method (137–170); Junkichi Satsuma, Hirota bilinear method for nonlinear evolution equations (171–222); Pavel Winternitz, Lie groups, singularities and solutions of nonlinear partial differential equations (223–273).

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