Geodesic
Many-soliton components of~solutions of~nonlinear Schr\"odinger equation with perturbing term
Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 1, pp. 35-44

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Inverse scattering problem method is applied to studying the one-soliton and many-soliton solutions of the perturbed nonlinear Schrödinger equation $ir_t=r_{xx}+2|r|^2r+2i\varepsilon\beta(|r|^2r)_x$. 
@article{TMF_1989_78_1_a3,
     author = {V. A. Vyslouh and I. V. Cherednik},
     title = {Many-soliton components of~solutions of~nonlinear {Schr\"odinger} equation with perturbing term},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {35--44},
     publisher = {mathdoc},
     volume = {78},
     number = {1},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_78_1_a3/}
}
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V. A. Vyslouh; I. V. Cherednik. Many-soliton components of~solutions of~nonlinear Schr\"odinger equation with perturbing term. Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 1, pp. 35-44. http://geodesic.mathdoc.fr/item/TMF_1989_78_1_a3/