Constraints of the KP hierarchy and multilinear forms

DOI10.1007/BF02099585zbMath0821.35121MaRDI QIDQ1842615

Bin Zhang, Walter Strampp, Yi. Cheng

Publication date: 3 October 1995

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

zbMATH Keywords

AKNS systemtrilinear formKaup-Broer systemSato's equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamics induced by flows and semiflows (37C10)

Related Items (10)

Wronskian solutions of the constrained Kadomtsev–Petviashvili hierarchy ⋮ The vector \(k\)-constrained KP hierarchy and Sato's Grassmannian ⋮ Boson–Fermion correspondence of the multi-component constrained mKP hierarchy ⋮ A new dual symmetry structure of the KP hierarchy. ⋮ Virasoro symmetry of constrained KP hierarchies ⋮ Manifestly supersymmetric Lax integrable hierarchies ⋮ On perturbed two-dimensional Dirac operators ⋮ Multilinear forms associated with the Yajima-Oikawa system ⋮ Supersymmetric Kadomtsev–Petviashvili hierarchy: “Ghost” symmetry structure, reductions, and Darboux–Bäcklund solutions ⋮ KP constraints from reduced multi-component hierarchies

Cites Work

• Unnamed Item
• Constrained KP hierarchy and bi-Hamiltonian structures
• Darboux theorems and Wronskian formulas for integrable systems. I: Constrained KP flows
• Mathematics of dispersive water waves
• A Higher-Order Water-Wave Equation and the Method for Solving It
• The AKNS hierarchy as symmetry constraint of the KP hierarchy
• 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
• Approximate equations for long water waves
• Multicomponent integrable reductions in the Kadomtsev–Petviashvilli hierarchy

This page was built for publication: Constraints of the KP hierarchy and multilinear forms