Geodesic
Integrating the Korteweg–de Vries Equation with a Self-Consistent Source and “Steplike” Initial Data
Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 1, pp. 38-54 
G. U. Urazboev; A. B. Khasanov. Integrating the Korteweg–de Vries Equation with a Self-Consistent Source and “Steplike” Initial Data. Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 1, pp. 38-54. http://geodesic.mathdoc.fr/item/TMF_2001_129_1_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that “steplike” solutions of the Korteweg–de Vries equation with a self-consistent source can be found by the inverse scattering method for the Sturm–Liouville operator on the entire real line.

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