Iterated Bäcklund-Darboux transformation and transfer matrix-function (nonisospectral case).

DOI10.1016/0960-0779(95)00103-4zbMath1080.37589OpenAlexW2038558662MaRDI QIDQ815582

Alexander L. Sakhnovich

Publication date: 17 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(95)00103-4

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Applications of operator theory to differential and integral equations (47N20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items

Sturm-Liouville systems with rational Weyl functions: Explicit formulas and applications ⋮ Iterated Bäcklund-Darboux transform for canonical systems ⋮ Generalized Bäcklund-Darboux transformation: Spectral properties and nonlinear equations ⋮ Bundle bispectrality for matrix differential equations. ⋮ Discrete skew self-adjoint canonical system and the isotropic Heisenberg magnet model

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