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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2005 Volume 17, Number 2, Pages 103–108 (Mi mm159)

This article is cited 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



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