Geodesic
On restricted $N$-soliton solutions of the nonlinear Schr\"odinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 1, pp. 13-20

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Many-soliton component is investigated for the solutions of nonlinear Schrödinger equation obtained from $N$-soliton (in particular, one-soliton) solutions by means of restricting the support (in $x$) of the initial (at $t=0$) function to an arbitrary finite semi-infinite interval. 
@article{TMF_1987_71_1_a1,
     author = {V. A. Vyslouh and I. V. Cherednik},
     title = {On restricted $N$-soliton solutions of the nonlinear {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {13--20},
     publisher = {mathdoc},
     volume = {71},
     number = {1},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a1/}
}
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V. A. Vyslouh; I. V. Cherednik. On restricted $N$-soliton solutions of the nonlinear Schr\"odinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 1, pp. 13-20. http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a1/