Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchies

DOI10.1016/S0375-9601(99)00199-1zbMath0935.37030arXivsolv-int/9806008MaRDI QIDQ1966851

L. V. Bogdanov, B. G. Konopelchenko

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/9806008

zbMATH Keywords

Bäcklund transformationsKP hierarchiesMöbius transformationlattice equations2D Toda lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (1)

Generalized KP hierarchy: Möbius symmetry, symmetry constraints and Calogero-Moser system

Cites Work

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• Generating quadrilateral and circular lattices in KP theory
• Multidimensional quadrilateral lattices are integrable.
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• Charged free fermions, vertex operators and the classical theory of conjugate nets
• Analytic-bilinear approach to integrable hierarchies. I. Generalized KP hierarchy
• Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies
• Discrete isothermic surfaces.
• Lattice and q-difference Darboux-Zakharov-Manakov systems via delta -dressing method

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