Periodic fixed points of Bäcklund transformations and the Korteweg–de Vries equation
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Publication:3769322
DOI10.1063/1.527284zbMath0632.35063OpenAlexW1972436572MaRDI QIDQ3769322
Publication date: 1986
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527284
Equations involving nonlinear operators (general) (47J05) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (14)
Dressing chains and the spectral theory of the Schrödinger operator ⋮ Necessary covariance conditions for a one-field Lax pair ⋮ The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability ⋮ Discrete symmetries and solitons ⋮ Solutions of Adler's Lattice Equation Associated with 2-Cycles of the Bäcklund Transformation ⋮ Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems ⋮ On the Lax Pairs of the Symmetric Painlevé Equations ⋮ Periodic fixed points of Bäcklund transformations ⋮ Dressing method in matter+radiation quantum models ⋮ The Heun equation and the Darboux transformation ⋮ A family of linearizable recurrences with the Laurent property ⋮ A constructive approach to the soliton solutions of integrable quadrilateral lattice equations ⋮ Four Lectures: Discretization and Integrability. Discrete Spectral Symmetries ⋮ Generalized Legendre transformations
Cites Work
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Modifying Lax equations and the second Hamiltonian structure
- 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
- On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems
- Periodic solutions of the KdV equation
- The Factorization Method
- Necessary condition for the existence of algebraic first integrals
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