Discretizing families of linearizable equations.

DOI10.1016/S0375-9601(98)00375-2zbMath1044.37529OpenAlexW2046521015MaRDI QIDQ1966771

Pavel Winternitz, Alfred Ramani, Basile Grammaticos

Publication date: 8 March 2000

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(98)00375-2

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12)

Related Items (1)

Lie-theoretical generalization and discretization of the Pinney equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Systems of ordinary differential equations with nonlinear superposition principles
• A nonlinear superposition principle admitted by coupled Riccati equations of the projective type
• Superposition principles for matrix Riccati equations
• The Painlevé property for partial differential equations
• Superposition formulas for rectangular matrix Riccati equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
• A Nonlinear Difference Scheme and Inverse Scattering
• Do integrable mappings have the Painlevé property?
• Non-proliferation of pre-images in integrable mappings
• Lie group formalism for difference equations

This page was built for publication: Discretizing families of linearizable equations.