A completely integrable system and parametric representation of solutions of the Wadati–Konno–Ichikawa hierarchy

DOI10.1063/1.530979zbMath0844.58045OpenAlexW2084781799MaRDI QIDQ4873513

Zhijun Qiao

Publication date: 29 August 1996

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

Full work available at URL: https://doi.org/10.1063/1.530979

zbMATH Keywords

completely integrable Hamiltonian systemBargmann constraintWKI eigenvalue problem

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) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (12)

On different integrable systems sharing the same nondynamical r-matrix ⋮ Soliton resolution for the Wadati-Konno-Ichikawa equation with weighted Sobolev initial data ⋮ Darboux transformation and solitonic solution to the coupled complex short pulse equation ⋮ The \(N\)-soliton solutions of the fifth-order KdV equation under Bargmann constraint ⋮ Multi-soliton solutions and the Cauchy problem for a two-component short pulse system ⋮ Wadati-Konno-Ichikawa-type integrable systems and their constructions ⋮ Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation ⋮ Cusp solitons and cusp-like singular solutions for nonlinear equations ⋮ Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications ⋮ On the soliton resolution and the asymptotic stability of \(N\)-soliton solution for the Wadati-Konno-Ichikawa equation with finite density initial data in space-time solitonic regions ⋮ From nonlinear Schrödinger hierarchy to some (2+1)-dimensional nonlinear pseudodifferential equations ⋮ Darboux transformation of two novel two-component generalized complex short pulse equations

Cites Work

• The Nonlinear Evolution Equations Related to the Wadati-Konno-Ichikawa Spectral Problem
• New Integrable Nonlinear Evolution Equations
• The constraints of potentials and the finite-dimensional integrable systems
• On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems
• A nonconfocal generator of involutive systems and three associated soliton hierarchies
• The algebraic structures of isospectral Lax operators and applications to integrable equations
• C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy

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