Geodesic
Asymptotic behaviour as $t\to \infty$ of the solutions of the generalized Korteweg–de Vries equation
Sbornik. Mathematics, Tome 187 (1996) no. 5, pp. 693-733 
P. I. Naumkin; I. A. Shishmarev. Asymptotic behaviour as $t\to \infty$ of the solutions of the generalized Korteweg–de Vries equation. Sbornik. Mathematics, Tome 187 (1996) no. 5, pp. 693-733. http://geodesic.mathdoc.fr/item/SM_1996_187_5_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Asymptotic formulae representing for large time the solution of the Cauchy problem are obtained for the generalized Korteweg–de Vries equation with non-linear term to an integer power greater than three. The error terms are estimated. The method is based on the perturbation theory with respect to a parameter characterizing the smallness of the initial data.

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