Generating quadrilateral and circular lattices in KP theory

DOI10.1016/S0375-9601(99)00579-4zbMath0939.37042arXivsolv-int/9810012MaRDI QIDQ1967025

Manuel Mañas, Luis Martínez-Alonso, Adam Doliwa

Publication date: 8 March 2000

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

Full work available at URL: https://arxiv.org/abs/solv-int/9810012

zbMATH Keywords

KP-hierarchyquadrilateral latticesBaker functionsbilinear equationsBKP-hierarchycircular latticesMiwa transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (2)

Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchies ⋮ Nets, lattices and multicomponent KP hierarchies

Cites Work

• Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
• Construction of higher-dimensional nonlinear integrable systems and of their solutions
• \(\bar \partial\)-reductions of the multidimensional quadrilateral lattice. The multidimensional circular lattice
• On Hirota's difference equations
• The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices
• Discrete Levy transformations and Casorati determinant solutions of quadrilateral lattices
• Multidimensional quadrilateral lattices are integrable.
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• Vectorial Ribaucour transformations for the Lamé equations
• Charged free fermions, vertex operators and the classical theory of conjugate nets
• Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality
• An algebraic formula for superposition and the completeness of the Bäcklund transformations of (2+1)-dimensional integrable systems
• Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies

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