Nonlinear integrable equations. Recursion operators, group-theoretical and Hamiltonian structures of soliton equations

Publication date: 1987

Published in: Lecture Notes in Physics (Search for Journal in Brave)

soliton Bäcklund transformations recursion operator integrals of motion nonlinear integrable equations inverse spectral transform hierarchies of Hamiltonian structures infinite symmetry groups

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Spectral theory; eigenvalue problems on manifolds (58C40) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15)

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