Nets, lattices and multicomponent KP hierarchies

DOI10.1007/BF02551199zbMath0985.37078MaRDI QIDQ1586707

R. Smith

Publication date: 23 November 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Kadomtsev-Petviashvili equationorthogonal netsquadrilateral and circular lattices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Differential geometry of webs (53A60)

Cites Work

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• \(\bar \partial\)-reductions of the multidimensional quadrilateral lattice. The multidimensional circular lattice
• On Hirota's difference equations
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• Generating quadrilateral and circular lattices in KP theory
• Darboux transformations for multidimensional quadrilateral lattices. I
• Multidimensional quadrilateral lattices are integrable.
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• Charged free fermions, vertex operators and the classical theory of conjugate nets
• Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality
• Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies

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