Geodesic
Renormalization in the~Cauchy problem for the~Korteweg--de Vries equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 2, pp. 173-177

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We consider the Cauchy problem for the Korteweg–de Vries equation with a small parameter at the highest derivative and a large gradient of the initial function. We construct an asymptotic solution of this problem by the renormalization method.
Keywords: Korteweg–de Vries equation, Cauchy problem, asymptotic solution, renormalization. 
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     author = {S. V. Zakharov},
     title = {Renormalization in {the~Cauchy} problem for {the~Korteweg--de} {Vries} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {173--177},
     publisher = {mathdoc},
     volume = {175},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_175_2_a2/}
}
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S. V. Zakharov. Renormalization in the~Cauchy problem for the~Korteweg--de Vries equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 2, pp. 173-177. http://geodesic.mathdoc.fr/item/TMF_2013_175_2_a2/