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

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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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     author = {P. I. Naumkin and I. A. Shishmarev},
     title = {Asymptotic behaviour as $t\to \infty$ of the~solutions of the~generalized {Korteweg--de~Vries} equation},
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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/