%0 Journal Article %A N. E. Firsova %T On solution of the Cauchy problem for the Korteweg--de~Vries equation with initial data the sum of a~periodic and a~rapidly decreasing function %J Sbornik. Mathematics %D 1989 %P 257-265 %V 63 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1989_63_1_a17/ %G en %F SM_1989_63_1_a17