Iterated Bäcklund-Darboux transform for canonical systems

DOI10.1006/jfan.1996.3003zbMath0886.35145OpenAlexW2071318820MaRDI QIDQ676195

Alexander L. Sakhnovich

Publication date: 6 May 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3003

zbMATH Keywords

canonical systemsHamiltoniansinverse spectral problemsBäcklund-Darboux transformproblems on similarity

Mathematics Subject Classification ID

Related Items (9)

Weyl functions of generalized Dirac systems: integral representation, the inverse problem and discrete interpolation ⋮ Sturm-Liouville systems with rational Weyl functions: Explicit formulas and applications ⋮ Hamiltonian systems and Sturm-Liouville equations: Darboux transformation and applications ⋮ Dynamical canonical systems and their explicit solutions ⋮ Construction of the solution of the inverse spectral problem for a system depending rationally on the spectral parameter, Borg-Marchenko-type theorem and sine-Gordon equation ⋮ On explicit inversion of a subclass of operators with \(D\)-difference kernels and Weyl theory of the corresponding canonical systems ⋮ Generalized Bäcklund-Darboux transformation: Spectral properties and nonlinear equations ⋮ On the class of canonical systems corresponding to matrix string equations: general-type and explicit fundamental solutions and Weyl-Titchmarsh theory ⋮ High‐Order Soliton Solution of Landau–Lifshitz Equation

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• Exact solutions of nonlinear equations and the method of operator identities
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• On the double commutation method

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