Geodesic
Positon Solutions of the KdV Equation with Self-Consistent Sources
Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 2, pp. 309-320

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We construct a binary Darboux transformation with an arbitrary time function for the KdV equation with self-consistent sources. With this transformation, we obtain positon solutions of the KdV equation with self-consistent sources. We also discuss the properties of these solutions.
Keywords: KdV equation with self-consistent sources, binary Darboux transformation.
Mots-clés : positon 
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     author = {Y. B. Zeng and Y. J. Shao and W. M. Xue},
     title = {Positon {Solutions} of the {KdV} {Equation} with {Self-Consistent} {Sources}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {309--320},
     publisher = {mathdoc},
     volume = {137},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_137_2_a14/}
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Y. B. Zeng; Y. J. Shao; W. M. Xue. Positon Solutions of the KdV Equation with Self-Consistent Sources. Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 2, pp. 309-320. http://geodesic.mathdoc.fr/item/TMF_2003_137_2_a14/