Darboux and binary Darboux transformations for the nonautonomous discrete KP equation

DOI10.1063/1.532222zbMath0898.58046OpenAlexW2009465931MaRDI QIDQ4384789

Tetsuji Tokihiro, Junkichi Satsuma, Ralph Willox

Publication date: 1 November 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532222

zbMATH Keywords

binary Darboux transformationsfermion analysisgeneralized Miwa transformationsnonautonomous discrete KP equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (15)

Solutions and three-dimensional consistency for nonautonomous extended lattice Boussinesq-type equations ⋮ Ghost symmetry of the discrete KP hierarchy ⋮ Explicit solutions for a nonlinear vector model on the triangular lattice ⋮ Multi-soliton and Pfaffian solutions of a \((2+1)\)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy ⋮ QRT maps and related Laurent systems ⋮ Gauge transformations of constrained discrete modified KP systems with self-consistent sources ⋮ Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy ⋮ Path description of conserved quantities of generalized periodic box-ball systems ⋮ Multi-soliton and double Wronskian solutions of a \((2+1)\)-dimensional modified Heisenberg ferromagnetic system ⋮ The AM(1) automata related to crystals of symmetric tensors ⋮ Nonautonomous discrete integrable systems ⋮ From discrete integrable equations to Laurent recurrences ⋮ Explicit solutions for a nonlinear model on the honeycomb and triangular lattices ⋮ $\mathbb{Z}_\mathcal{N}$ graded discrete integrable systems and Darboux transformations ⋮ Toda lattice hierarchy and soliton equations on square lattice

Cites Work

• Solitons and infinite dimensional Lie algebras
• Darboux theorems and Wronskian formulas for integrable systems. I: Constrained KP flows
• Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)–dimensional sine–Gordon system
• Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy

This page was built for publication: Darboux and binary Darboux transformations for the nonautonomous discrete KP equation