Boundary conditions for multidimensional integrable equations

DOI10.1023/B:FAIA.0000034044.01773.DDzbMath1086.37036OpenAlexW2091685549MaRDI QIDQ2486701

E. V. Gudkova, Ismagil T. Habibullin

Publication date: 5 August 2005

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:faia.0000034044.01773.dd

zbMATH Keywords

Hamiltonian structureLax pairintegrable equationKadomtsev-Petviashvili equation

Mathematics Subject Classification ID

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) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (6)

Truncations of Toda chains and the reduction problem ⋮ Integrable boundary conditions for (2+1)-dimensional models of mathematical physics ⋮ Explicit solutions of boundary-value problems for \((2+1)\)-dimensional integrable systems ⋮ Integrable boundary value problems for elliptic type Toda lattice in a disk ⋮ Explicit solutions of an integrable boundary value problem for the two-dimensional Toda lattice ⋮ Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method

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