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Bäcklund transformations for the equation z//(uv)=(2 \(z_ u\) \(z_ v)\)/z + z

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Publication:1158562
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DOI10.1007/BF02285314zbMath0473.35008OpenAlexW1989871138MaRDI QIDQ1158562

F. J. Chinea

Publication date: 1981

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02285314


zbMATH Keywords

Bäcklund transformationsnonlinear sigma-model


Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Geometric theory, characteristics, transformations in context of PDEs (35A30)


Related Items (3)

On generalized local symmetries of the \(\text{SO}(2,1)\) invariant nonlinear sigma model ⋮ Bundle connections and Bäcklund transformations for gravitational fields with isometries ⋮ Almost periodic solutions to SO(2,1) \(\sigma\)-model field theory




Cites Work

  • Existence of strong Bäcklund transformations in four or more dimensions and generalization of a family of Bäcklund transformations
  • The soliton connection
  • Integrable Hamiltonian systems and interactions through quadratic constraints
  • On the intrinsic geometry of certain nonlinear equations: The sine-Gordon equation




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