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
Type de document : Livre numériqueCollection : Lecture notes in physics, 632Langue : anglais.Éditeur : Berlin : Springer, 2003ISBN: 9783540200871.ISSN: 1616-6361.Sujet MSC : 35-06, Proceedings, conferences, collections, etc. pertaining to partial differential equations37-06, Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory
37K10, Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchiesEn-ligne : Springerlink
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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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