Geodesic
A limit symmetry of the Korteweg–de Vries equation and its applications
Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 2, pp. 277-287 Cet article a éte moissonné depuis la source Math-Net.Ru

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We discuss a symmetry of the Korteweg–de Vries (KdV) equation. This symmetry can be related to the squared eigenfunction symmetry by a limit procedure. As applications, we consider the similarity reduction of the KdV equation and a KdV equation with new self-consistent sources. We derive some solutions via a bilinear approach.
Keywords: symmetry, KdV equation, symmetry constraint, self-consistent source, bilinear method. 
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Zhang Da-jun; Jian-bing Zhang; Qing Shen. A limit symmetry of the Korteweg–de Vries equation and its applications. Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 2, pp. 277-287. http://geodesic.mathdoc.fr/item/TMF_2010_163_2_a3/

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