Gauge transformations of constrained KP flows: New integrable hierarchies

DOI10.1063/1.531336zbMath0845.58036OpenAlexW2034357518MaRDI QIDQ4873320

Anjan Kundu, Walter Oevel, Walter Strampp

Publication date: 16 April 1996

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

Full work available at URL: https://semanticscholar.org/paper/fe74d4f2b5fd60c42a9580d4f8727d055f065147

zbMATH Keywords

gauge transformationsKP flows

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (12)

Unitary deformations and complex soliton equations ⋮ Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value ⋮ The Korteweg capillarity system. Integrable reduction via gauge and reciprocal links ⋮ Constrained discrete KP hierarchy: the constraint on the tau functions and gauge transformations ⋮ Solutions on the periodic background and transition state mechanisms for the higher-order Chen-Lee-Liu equation ⋮ Solving the constrained KP hierarchy by gauge transformations ⋮ On solutions of constrained Kadomtsev–Petviashvili equations: Grammians ⋮ Modulation instability, higher-order rogue waves and dynamics of the Gerdjikov-Ivanov equation ⋮ A new bidirectional generalization of (2+1)-dimensional matrix k-constrained Kadomtsev-Petviashvili hierarchy ⋮ On deformations of standard R-matrices for integrable infinite-dimensional systems ⋮ A Riemann-Hilbert approach to the Chen-Lee-Liu equation on the half line ⋮ Additional reductions in the \(k\)-constrained modified KP hierarchy

Cites Work

• What is a classical r-matrix?
• On nonlinear effects in magnetic chains
• Darboux theorems and Wronskian formulas for integrable systems. I: Constrained KP flows
• New Integrable Nonlinear Evolution Equations
• Nonlinear evolution equations, rescalings, model PDES and their integrability: I
• Constraints of the 2+1 dimensional integrable soliton systems
• An exact solution for a derivative nonlinear Schrödinger equation
• Multicomponent integrable reductions in the Kadomtsev–Petviashvilli hierarchy
• GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• SQUARED EIGENFUNCTIONS OF THE (MODIFIED) KP HIERARCHY AND SCATTERING PROBLEMS OF LOEWNER TYPE

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