Constraints of the KP hierarchy and the bilinear method

DOI10.1007/BF00996122zbMath0842.58043OpenAlexW4244908840MaRDI QIDQ1903574

Walter Strampp, You-Jin Zhang, Yi. Cheng

Publication date: 11 December 1995

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00996122

zbMATH Keywords

constrainthierarchyLax equationsbilinear methodmicrodifferential operator

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Quadratic and bilinear forms, inner products (15A63)

Cites Work

• Unnamed Item
• Bilinear Bäcklund transformations for the KP and \(k\)-constrained KP hierarchy
• Constrained KP hierarchy and bi-Hamiltonian structures
• The AKNS hierarchy as symmetry constraint of the KP hierarchy
• Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras
• Symmetry constraints of the KP hierarchy
• A unified approach to recursion operators if the reduced (1 + 1)-dimensional Hamiltonian systems
• (1+1)-dimensional Hamiltonian systems as symmetry constraints of the Kadomtsev-Petviashvili equation
• Constraints of the Kadomtsev–Petviashvili hierarchy
• Bilinear equations for the constrained KP hierarchy

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