Bilinear Bäcklund transformations for the KP and \(k\)-constrained KP hierarchy

DOI10.1016/0375-9601(93)90055-5zbMath0992.37503OpenAlexW1985128859MaRDI QIDQ1309046

You-Jin Zhang, Yi. Cheng, Walter Strampp

Publication date: 21 December 1993

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(93)90055-5

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (5)

Constraints of the KP hierarchy and the bilinear method ⋮ The constrained KP hierarchy and the bigraded Toda hierarchy of \((M, 1)\)-type ⋮ Miura and auto-Bäcklund transformations for the cKP and cmKP hierarchies ⋮ AN ALGEBRAIC STRUCTURE OF ZERO CURVATURE REPRESENTATIONS ASSOCIATED WITH COUPLED INTEGRABLE COUPLINGS AND APPLICATIONS TO τ-SYMMETRY ALGEBRAS ⋮ On application of Liouville type equations to constructing Bäcklund transformations

Cites Work

• Solitons and infinite dimensional Lie algebras
• Recursion operators and bi-Hamiltonian structures in multidimensions. II
• Constrained KP hierarchy and bi-Hamiltonian structures
• Darboux theorems and Wronskian formulas for integrable systems. I: Constrained KP flows
• The AKNS hierarchy as symmetry constraint of the KP hierarchy
• Conserved quantities and symmetries of KP hierarchy
• Symmetry constraints of the KP hierarchy
• Constraints of the 2+1 dimensional integrable soliton systems
• (1+1)-dimensional Hamiltonian systems as symmetry constraints of the Kadomtsev-Petviashvili equation
• New reductions of the Kadomtsev–Petviashvili and two-dimensional Toda lattice hierarchies via symmetry constraints
• Constraints of the Kadomtsev–Petviashvili hierarchy
• Multicomponent integrable reductions in the Kadomtsev–Petviashvilli hierarchy
• The Recursion Operator of the Kadomtsev‐Petviashvili Equation and the Squared Eigenfunctions of the Schrödinger Operator

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