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This article is cited in 1 scientific paper (total in 1 paper)
Physical processes which are described by nonlinear Schrödinger equations
A. N. Volobuev Samara State Medical University, Department of medical and biological physics
Abstract:
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.
Received: 25.06.2004
Citation:
A. N. Volobuev, “Physical processes which are described by nonlinear Schrödinger equations”, Matem. Mod., 17:2 (2005), 103–108
Linking options:
https://www.mathnet.ru/eng/mm159 https://www.mathnet.ru/eng/mm/v17/i2/p103
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Abstract page: | 430 | Full-text PDF : | 158 | First page: | 1 |
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