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Integrable systems as nonlinear realizations of infinite-dimensional symmetries: The Liouville equation example

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Publication:794215
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DOI10.1007/BF00420039zbMath0541.35075OpenAlexW2010763124MaRDI QIDQ794215

S. O. Krivonos, Evgeny A. Ivanov

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00420039


zbMATH Keywords

Bäcklund transformationsLiouville equationnonlinear realizationMaurer-Cartan equationsgauge shifts


Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)


Related Items (2)

On the super-conformal quantum mechanics in the nonlinear realizations approach ⋮ On the time-dependent oscillator and the nonlinear realizations of the Virasoro group



Cites Work

  • Unnamed Item
  • A sketch of Lie superalgebra theory
  • Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
  • Method for Solving the Korteweg-deVries Equation


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