Geodesic
Boundary value problem for the KdV equation on a half-line
Teoretičeskaâ i matematičeskaâ fizika, Tome 110 (1997) no. 1, pp. 98-113 
V. E. Adler; I. T. Habibullin; A. B. Shabat. Boundary value problem for the KdV equation on a half-line. Teoretičeskaâ i matematičeskaâ fizika, Tome 110 (1997) no. 1, pp. 98-113. http://geodesic.mathdoc.fr/item/TMF_1997_110_1_a7/
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     title = {Boundary value problem for the {KdV} equation on a half-line},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The $L$–$A$ pair corresponding to the boundary value problem with the condition $u|_{x=0}=a$ for the KdV equation is presented. A broad class of exact solutions to this equation is constructed and the conservation laws are discussed.

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