Geodesic
Generalized solitons of the Schrödinger equation with unitary nonlinearity
Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 3, pp. 345-351 
Vo Khan' Fuk; V. M. Chetverikov. Generalized solitons of the Schrödinger equation with unitary nonlinearity. Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 3, pp. 345-351. http://geodesic.mathdoc.fr/item/TMF_1978_36_3_a5/
@article{TMF_1978_36_3_a5,
     author = {Vo Khan' Fuk and V. M. Chetverikov},
     title = {Generalized solitons of the {Schr\"odinger} equation with unitary nonlinearity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {345--351},
     year = {1978},
     volume = {36},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_36_3_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Schrödinger equations containing a nonlinear integral term are considered. For some types of “self-interaction potential” an exact solution of soliton type is constructed. An example is given for obtaining an almost-solution in the asymptotic sense by means of harmonic approximation of the potential. A diagram technique is proposed for solving the Cauchy problem perturbatively.

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