Theory of integrable three-dimensional nonlinear lattice equations

DOI10.1007/BF00402836zbMath0609.35002MaRDI QIDQ1086738

Frank W. Nijhoff

Publication date: 1985

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationinvariantcompatibility conditionsKadomtsev- Petviashvili equationlinear inhomogeneous systemnonlinear integrable partial difference equationsnonlocal integral transformations

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Linear higher-order PDEs (35G05)

Related Items (6)

Duals and propagators: A canonical formalism for nonlinear equations ⋮ Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations ⋮ On a coupled Kadomtsev–Petviashvili system associated with an elliptic curve ⋮ Lagrangian 3-form structure for the Darboux system and the KP hierarchy ⋮ The affine Weyl group symmetry of Desargues maps and of the non-commutative Hirota-Miwa system ⋮ Elliptic (N, N′)-soliton solutions of the lattice Kadomtsev-Petviashvili equation

Cites Work

• Solitons and infinite dimensional Lie algebras
• The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation
• On the general structure of nonlinear evolution equations integrable by the two-dimensional matrix spectral problem
• Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation
• On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
• The direct linearization of a class of nonlinear evolution equations
• Bäcklund transformations and nonlinear differential difference equations
• Integrable three-dimensional lattices
• On three-dimensional packets of surface waves

This page was built for publication: Theory of integrable three-dimensional nonlinear lattice equations