Geodesic
Physical processes which are described by nonlinear Schr\"odinger equations
Matematičeskoe modelirovanie, Tome 17 (2005) no. 2, pp. 103-108.

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The five nonlinear differential Schrodinger equations with the known solutions and various type of non-linearity are considered. Relations between velocity of the impulse and wave of the filling are founded. From this relations is shown, that equation with negative cube non-linearity it is not possible use for mod-eling physical phenomenon where velocity of the impulse is smaller velocity of the filling wave. For the four Schrodinger equations with the logarithmic non-linearity the solutions are presented as the solitary waves. At one equation the solitary wave is form kink. The graphs of some solutions are presented. 
@article{MM_2005_17_2_a9,
     author = {A. N. Volobuev},
     title = {Physical processes which are described by nonlinear {Schr\"odinger} equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {103--108},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2005_17_2_a9/}
}
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A. N. Volobuev. Physical processes which are described by nonlinear Schr\"odinger equations. Matematičeskoe modelirovanie, Tome 17 (2005) no. 2, pp. 103-108. http://geodesic.mathdoc.fr/item/MM_2005_17_2_a9/