Restricted Flows and the Soliton Equation with Self-Consistent Sources

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dc.creatorLin, Runliang
dc.creatorYao, Haishen
dc.creatorZeng, Yunbo
dc.date2006-12-30
dc.date.accessioned2026-07-07T09:34:42Z
dc.date.available2026-07-07T09:34:42Z
dc.descriptionThe KdV equation is used as an example to illustrate the relation between the restricted flows and the soliton equation with self-consistent sources. Inspired by the results on the Backlund transformation for the restricted flows (by V.B. Kuznetsov et al.), we constructed two types of Darboux transformations for the KdV equation with self-consistent sources (KdVES). These Darboux transformations are used to get some explicit solutions of the KdVES, which include soliton, rational, positon, and negaton solutions.
dc.descriptionThis is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/nlin/0701003
dc.identifierhttp://arxiv.org/abs/nlin/0701003
dc.identifierSIGMA 2 (2006), 096, 8 pages
dc.identifierdoi:10.3842/SIGMA.2006.096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159584
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleRestricted Flows and the Soliton Equation with Self-Consistent Sources
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