Nonlinear integrable equations : recursion operators, group theoretical and Hamiltonian structures of soliton equations

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Autore principale: Konopelčenko, Boris Georgievič, 1948-
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serie:Lecture notes in physics 270
Soggetti:
Accesso online:Accès sur la plateforme de l'éditeur
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Nonlinear integrable equations, recursion operators, group theoretical and Hamiltonian structures of soliton equations, B.G. Konopelchenko, Berlin, Springer-Verlag, 1987, 1 vol. (VIII-361 p.), Lecture notes in physics, 0-387-17567-9
• Nonlinear Integrable Equations, Texte imprimé, 9783662136096
• Nonlinear Integrable Equations, Texte imprimé, 9783662136102
Sommario:
  • General ideas of the recursion operator method and adjoint representation
  • Linear matrix bundle
  • BC group and general integrable equations under reductions
  • Quadratic bundle with Z 2 grading
  • Polynomial and rational bundles
  • Polynomial and rational bundles
  • General differential spectral problem
  • Generalization and reductions of the differential spectral problem and integrodifferential spectral problems
  • Two-dimensional matrix spectral problem
  • Two-dimensional differential spectral problem
  • Towards to the general theory of recursion structure of nonlinear evolution equations.