Geodesic
Spatial dispersion of nonlinearity and stability of multidimensional solitons
Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 2, pp. 226-232 
S. K. Turitsyn. Spatial dispersion of nonlinearity and stability of multidimensional solitons. Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 2, pp. 226-232. http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a4/
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     title = {Spatial dispersion of nonlinearity and stability of multidimensional solitons},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the framework of the modified nonlinear Schrödinger equation it is shown that one of the mechanisms ensuring the existence of stable multidimensional solitons is nonlocality of nonlinear interaction. Degeneracy of the quasiparticle dispersion law has an analogous effect on the stability of non-one-dimensional solitons.

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