A new completely integrable Liouville’s system produced by the Kaup–Newell eigenvalue problem

DOI10.1063/1.530412zbMath0777.58019OpenAlexW1971139188MaRDI QIDQ3136678

Zhijun Qiao

Publication date: 21 October 1993

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

Full work available at URL: https://doi.org/10.1063/1.530412

zbMATH Keywords

Schrödinger equationcompletely integrable Hamiltonian systemBargmann constraintKaup-Newell 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) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (10)

On different integrable systems sharing the same nondynamical r-matrix ⋮ Riemann-Hilbert approach to TD equation with nonzero boundary condition ⋮ Seiberg-Witten monopole equations and Riemann surfaces ⋮ A hierarchy of nonlinear evolution equations and finite-dimensional involutive systems ⋮ An involutive system and integrable C. Neumann system associated with the modified Korteweg–de Vries hierarchy ⋮ Double and triple-pole solutions for the third-order flow equation of the Kaup-Newell system with zero/nonzero boundary conditions ⋮ A hierarchy of nonlinear evolution equations, its bi-Hamiltonian structure, and finite-dimensional integrable systems ⋮ Integrable decomposition of a hierarchy of soliton equations and integrable coupling system by semidirect sums of Lie algebras ⋮ An algebro-geometric solution for a Hamiltonian system with application to dispersive long wave equation ⋮ Modulational instability of periodic standing waves in the derivative NLS equation

Cites Work

• Reduction of Hamiltonian systems, affine Lie algebra, and Lax equations. II
• Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
• Almost Periodic Solutions of the KdV Equation
• An exact solution for a derivative nonlinear Schrödinger equation
• C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy

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