Geodesic
Quantum field scattering theory for the nonlinear Schr\"odinger equation with repulsive coupling
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 244-253

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Nonstationary quantum field scattering theory is constructed for the nonlinear Schrödinger equation with repulsion. Local fields are introduced through the quantum Gel'fand–Levitan–Marehenko equations; the equivalence of the field problem to a set of $N$-particle quantum-mechanical problems with two-body $\delta$-functional potential (coordinate Bethe ansatz) is not used. 
@article{TMF_1985_63_2_a7,
     author = {I. M. Khamitov},
     title = {Quantum field scattering theory for the nonlinear {Schr\"odinger} equation with repulsive coupling},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {244--253},
     publisher = {mathdoc},
     volume = {63},
     number = {2},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a7/}
}
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I. M. Khamitov. Quantum field scattering theory for the nonlinear Schr\"odinger equation with repulsive coupling. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 244-253. http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a7/