Casorati determinant solution for the discrete-time relativistic Toda lattice equation

DOI10.1016/S0375-9601(98)00150-9zbMath0949.37045MaRDI QIDQ1966685

Masayuki Oikawa, Kenji Kajiwara, Ken-Ichi Maruno

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

Bäcklund transformations\(N\)-soliton solutionCasorati determinantdiscrete-time relativistic Toda lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Cites Work

• Bilinearization of discrete soliton equations and singularity confinement.
• Relativistic Toda systems
• Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
• Bilinear discrete Painleve equations
• A discrete-time relativistic Toda lattice
• Casorati determinant solution for the relativistic Toda lattice equation
• Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy
• Do integrable mappings have the Painlevé property?