Solution of the Cauchy problem for the semi-infinite Toda lattice in the class of Hilbert-Schmidt operators

DOI10.1134/S1064562410030269zbMath1209.37084OpenAlexW2066322946MaRDI QIDQ610585

Agil K. Khanmamedov

Publication date: 8 December 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410030269

zbMATH Keywords

difference operatornonlinear evolution equationsscattering method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear differential equations in abstract spaces (34G20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

• Unnamed Item
• Projective spectral theorem
• Theory of nonlinear lattices
• Rapidly Decreasing Solution of the Initial Boundary-Value Problem for the Toda Lattice

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