Periodic fixed points of Bäcklund transformations
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Publication:3793408
DOI10.1063/1.527411zbMath0648.58043OpenAlexW1993345032MaRDI QIDQ3793408
Publication date: 1987
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527411
Boussinesq equationHamiltonian structureToda latticeBäcklund transformationsKorteweg-de Vries equationperiodic fixed points
Index theory and related fixed-point theorems on manifolds (58J20) Partial differential equations of mathematical physics and other areas of application (35Q99) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
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Cites Work
- On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- On classes of integrable systems and the Painlevé property
- The Painlevé property and Bäcklund transformations for the sequence of Boussinesq equations
- Periodic fixed points of Bäcklund transformations and the Korteweg–de Vries equation
- Necessary condition for the existence of algebraic first integrals
