par Loris, Ignace ;Willox, R.
Référence Fourth national congress about theoretical and applied mechanics (22-23/5/1997: Leuven, Belgium)
Publication Non publié, 1997
Communication à un colloque
Résumé : We study a dimensional reduction of the Kadomtsev-Petviashvili (KP) equation, amongst which one finds the non-linear Schr\"odinger equation (with non-zero boundary conditions). In particular, we use a Darboux transformation to obtain the $N$-soliton solutions ($\forall N$).