Integrating the Toda lattice with self-consistent source via inverse scattering method

DOI10.1007/s11040-012-9117-7zbMath1255.39019OpenAlexW2040813774MaRDI QIDQ1928784

Gayrat Urazboev

Publication date: 4 January 2013

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-012-9117-7

zbMATH Keywords

Toda latticeinverse scattering methodself-consistent sourceone-soliton solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Difference operators (39A70) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lattice dynamics; integrable lattice equations (37K60)

Related Items (2)

On the construction and integration of a hierarchy for the periodic Toda lattice with a self-consistent source ⋮ Solution of the finite Toda lattice with self-consistent source

Cites Work

• On equations for wave interactions
• Toda lattice with a special self-consistent source
• Multi-scale expansions in the theory of systems integrable by the inverse scattering transform
• Integrating the Korteweg-de Vries equation with a self-consistent source and ``steplike initial data
• Spectral conservation laws for periodic nonlinear equations of the Melnikov type
• Integration of the Toda lattice with an integral-type source
• The Toda lattice. II. Existence of integrals
• On the relation of the stationary Toda equation and the symplectic maps
• Rapidly Decreasing Solution of the Initial Boundary-Value Problem for the Toda Lattice
• On the Toda lattice equation with self-consistent sources

This page was built for publication: Integrating the Toda lattice with self-consistent source via inverse scattering method