On the periodic Toda lattice with a self-consistent source

DOI10.1016/j.cnsns.2014.10.013zbMath1329.37062OpenAlexW2029589661MaRDI QIDQ907681

Bazar A. Babajanov, Gayrat Urazboev, Michal Fečkan

Publication date: 26 January 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.10.013

zbMATH Keywords

Toda latticeinverse spectral problemtrace formulasHill's equationself-consistent source

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (5)

The periodic solutions of the discrete modified KdV equation with a self-consistent source ⋮ Solution of the finite Toda lattice with self-consistent source ⋮ On the integration of the periodic Camassa-Holm equation with an integral-type source ⋮ On the differential-difference sine-Gordon equation with an integral type source ⋮ Periodic Toda chain with an integral source

Cites Work

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• The Korteweg-de Vries equation with a self-consistent source in the class of periodic functions
• Toda lattice with a special self-consistent source
• Periodic problem for a Toda chain
• Theory of nonlinear lattices
• On the Toda Lattice. II: Inverse-Scattering Solution

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