On special function solutions to nonlinear integrable equations

DOI10.1016/S0375-9601(97)00718-4zbMath0969.33500OpenAlexW1988083106MaRDI QIDQ1966436

Ralph Willox, Tetsuji Tokihiro, Junkichi Satsuma

Publication date: 7 March 2000

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(97)00718-4

Mathematics Subject Classification ID

Applications of hypergeometric functions (33C90) Applications of basic hypergeometric functions (33D90)

Related Items (5)

Explicit solutions for a nonlinear vector model on the triangular lattice ⋮ On the exact solutions of nonlinear potential Yu-Toda-Sasa-Fukuyama equation by different methods ⋮ Nonautonomous discrete integrable systems ⋮ Explicit solutions for a nonlinear model on the honeycomb and triangular lattices ⋮ Deautonomisation of differential-difference equations and discrete Painlevé equations

Cites Work

• Solitons and infinite dimensional Lie algebras
• Method of squared eigenfunction potentials in integrable hierarchies of KP type
• Darboux theorems and Wronskian formulas for integrable systems. I: Constrained KP flows
• On Hirota's difference equations
• The fermionic approach to Darboux transformations
• Toda Equation and Its Solutions in Special Functions
• Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy
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