Integration of the Toda lattice hierarchy with self-consistent source via inverse scattering method

DOI10.29229/uzmj.2018-4-4zbMath1488.34482OpenAlexW2906058840WikidataQ128729871 ScholiaQ128729871MaRDI QIDQ5002474

Bazar A. Babajanov

Publication date: 27 July 2021

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

Full work available at URL: https://doi.org/10.29229/uzmj.2018-4-4

zbMATH Keywords

inverse scattering methodself-consistent sourcediscrete Sturm-Liouville operatorToda lattice hierarchyone-soliton solution

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) Inverse problems for functional-differential equations (34K29)

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