Geodesic
On the Singular Solutions of the Korteweg--de Vries Equation
Matematičeskie zametki, Tome 88 (2010) no. 5, pp. 770-777.

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We consider two classes of singular solutions of the KdV equation: singular solutions of the Cauchy problem and singular traveling waves. In both cases, we establish sufficient conditions for their existence.
Keywords: Korteweg–de Vries equation, Cauchy problem, traveling wave, nonlinear capacity, Hölder inequality.
Mots-clés : singular solution 
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S. I. Pokhozhaev. On the Singular Solutions of the Korteweg--de Vries Equation. Matematičeskie zametki, Tome 88 (2010) no. 5, pp. 770-777. http://geodesic.mathdoc.fr/item/MZM_2010_88_5_a11/

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