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
KP-hierarchyquadrilateral latticesBaker functionsbilinear equationsBKP-hierarchycircular latticesMiwa transformation
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)
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
This page was built for publication: Generating quadrilateral and circular lattices in KP theory
