On the Toda Lattice Equation with Self-Consistent Sources

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dc.creatorLiu, Xiaojun
dc.creatorZeng, Yunbo
dc.date2005-10-09
dc.date.accessioned2026-07-07T06:48:11Z
dc.date.available2026-07-07T06:48:11Z
dc.descriptionThe Toda lattice hierarchy with self-consistent sources and their Lax representation are derived. We construct a forward Darboux transformation (FDT) with arbitrary functions of time and a generalized forward Darboux transformation (GFDT) for Toda lattice with self-consistent sources (TLSCS), which can serve as a non-auto-Backlund transformation between TLSCS with different degrees of sources. With the help of such DT, we can construct many type of solutions to TLSCS, such as rational solution, solitons, positons, negetons, and soliton-positons, soliton-negatons, positon-negatons etc., and study properties and interactions of these solutions.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/nlin/0510014
dc.identifierhttp://arxiv.org/abs/nlin/0510014
dc.identifierJ. Phys. A: Math. Gen. 38 (2005) 8951 - 8965
dc.identifierdoi:10.1088/0305-4470/38/41/008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103901
dc.subjectExactly Solvable and Integrable Systems
dc.titleOn the Toda Lattice Equation with Self-Consistent Sources
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