Rational solutions of the Zakharov-Shabat equations and completely integrable systems of \(N\) particles on a line

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) Analyticity in context of PDEs (35A20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (9)

Degeneration of trigonal curves and solutions of the KP-hierarchy ⋮ Supersymmetric quantum spin chains and classical integrable systems ⋮ Bispectral KP solutions and linearization of Calogero-Moser particle systems ⋮ The master \(T\)-operator for the Gaudin model and the KP hierarchy ⋮ The master \(T\)-operator for vertex models with trigonometric \(R\)-matrices as a classical \(\tau\)-function ⋮ Classical tau-function for quantum spin chains ⋮ Reflectionless Schrödinger operators, the dynamics of zeros, and the solitonic Sato formula ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach ⋮ On a theorem of Halphen and its application to integrable systems

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