Toda lattice with a special self-consistent source

DOI10.1007/s11232-008-0025-8zbMath1155.37040OpenAlexW2015308142MaRDI QIDQ949194

Gayrat Urazboev

Publication date: 21 October 2008

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-008-0025-8

zbMATH Keywords

Toda latticeinverse scattering methodself-consistent sourcemoving eigenvalues

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) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

On the construction and integration of a hierarchy for the periodic Toda lattice with a self-consistent source ⋮ The Cauchy problem for a semi-infinite Volterra chain with an asymptotically periodic initial condition ⋮ Integrating the Toda lattice with self-consistent source via inverse scattering method ⋮ Solution of the finite Toda lattice with self-consistent source ⋮ Periodic Toda chain with an integral source ⋮ On the periodic Toda lattice with a self-consistent source

Cites Work

• Unnamed Item
• Theory of nonlinear lattices
• Integrating the Korteweg-de Vries equation with a self-consistent source and ``steplike initial data
• Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation
• Creation and annihilation of solitons in the system described by the Korteweg-de Vries equation with a self-consistent source
• On the Toda Lattice. II: Inverse-Scattering Solution
• Rapidly Decreasing Solution of the Initial Boundary-Value Problem for the Toda Lattice

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