Geodesic
Numerical realization of~the inverse scattering method
Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 3, pp. 323-333

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A method of solving the Cauchy problem for integrable equations that is specially suited to the application of numerical methods is proposed. The dynamics of singular solutions in a differential-difference analog of the nonlinear Schrödinger equation is investigated in detail. 
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     author = {I. T. Habibullin and A. G. Shagalov},
     title = {Numerical realization of~the inverse scattering method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {323--333},
     publisher = {mathdoc},
     volume = {83},
     number = {3},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_83_3_a0/}
}
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I. T. Habibullin; A. G. Shagalov. Numerical realization of~the inverse scattering method. Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 3, pp. 323-333. http://geodesic.mathdoc.fr/item/TMF_1990_83_3_a0/