Linearizing integral transform for the multicomponent lattice KP

DOI10.1016/0378-4371(86)90174-3zbMath0689.35085OpenAlexW2003692863MaRDI QIDQ581773

H. W. Capel, G. L. Wiersma, Frank W. Nijhoff

Publication date: 1986

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(86)90174-3

zbMATH Keywords

integral transformIsing modelToda equationKadomtsev-Petviashvili equationKorteweg-de Vries

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

INTEGRABLE DISCRETIZATIONS FOR LATTICE SYSTEM: LOCAL EQUATIONS OF MOTION AND THEIR HAMILTONIAN PROPERTIES, Linear integral equations, infinite matrices, and soliton hierarchies, Lattice equations, hierarchies and Hamiltonian structures, Lattice equations, hierarchies and Hamiltonian structures. II: KP-type of hierarchies on 2D lattices, Lattice equations, hierarchies and Hamiltonian structures. III: The 2D Toda and KP hierarchies, Linear integral equations and multicomponent nonlinear integrable systems. II, Elliptic (N, N′)-soliton solutions of the lattice Kadomtsev-Petviashvili equation, Construction of exact solutions for fractional-type difference-differential equations via symbolic computation, Integrable discretizations of the Euler top, Solitons of the vector KdV and Yamilov lattices

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