Dynamical canonical systems and their explicit solutions

Abstract

Dynamical canonical systems and their connections with the classical (spectral) canonical systems are considered. We construct Bäcklund-Darboux transformation and explicit solutions of the dynamical canonical systems. We study also those properties of the solutions, which are of interest in evolution and control theories.

This is a longer and more complete version (second version), which includes additional results on asymtotics of the explicit solutions

References in corpus (1)

• Inverse problem for one-dimensional dynamical Dirac system (BC-method)

Cited by in corpus (7)

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• On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations
• Hamiltonian systems with several space variables: dressing, explicit solutions and energy relations