Physical processes which are described by nonlinear Schrödinger 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},
year = {2005},
volume = {17},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2005_17_2_a9/}
}
A. N. Volobuev. Physical processes which are described by nonlinear Schrödinger equations. Matematičeskoe modelirovanie, Tome 17 (2005) no. 2, pp. 103-108. http://geodesic.mathdoc.fr/item/MM_2005_17_2_a9/