Integration of Toda lattices with step-like initial data

DOI10.1134/S1064562413010110zbMath1286.37063MaRDI QIDQ352200

L. K. Asadova, Agil K. Khanmamedov

Publication date: 4 July 2013

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

zbMATH Keywords

Toda latticeinverse scattering methodevolution of scattering data

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Cites Work

• Inverse scattering problem for a discrete Sturm-Liouville operator on the entire line
• On the global solvability of the Cauchy problem for an infinite system of differential equations
• Theory of nonlinear lattices
• The inverse scattering problem for a discrete Sturm-Liouville equation on the line
• On Some Periodic Toda Lattices
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