Integrations of nonlinear dynamic systems with the method of inverse spectral problems

DOI10.1007/BF02304569zbMath0863.34014MaRDI QIDQ1916594

Vjacheslav Anatoljevich Yurko

Publication date: 15 June 1997

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

inverse problemdiscrete KdV equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential equations of infinite order (34A35)

Related Items (5)

The Cauchy problem for a semi-infinite Volterra chain with an asymptotically periodic initial condition ⋮ The inverse scattering problem for a discrete Dirac system on the whole axis ⋮ Completely integrable nonlinear dynamical systems of the Langmuir chains type ⋮ An interior inverse problem for the Sturm-Liouville operator with discontinuous conditions ⋮ Inverse problems of spectral analysis for differential operators and their applications

Cites Work

• Theory of nonlinear lattices
• Solution of the Boussinesq equation on the half-line by the inverse problem method
• Unnamed Item

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