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

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     author = {S. I. Pokhozhaev},
     title = {On the {Singular} {Solutions} of the {Korteweg--de} {Vries} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {770--777},
     publisher = {mathdoc},
     volume = {88},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_5_a11/}
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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/