Soliton solutions to resonant nonlinear Schrödinger’s equation with time-dependent coefficients by trial solution approach

In this paper, the resonant nonlinear Schrödinger’s equation is studied with four forms of nonlinearity and time-dependent coefficients. The trial solution method is employed to solve the governing equations. Solitons and singular periodic solutions are obtained. The constraint conditions naturally...

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Bibliographic Details
Published in:Nonlinear dynamics 2015-07, Vol.81 (1-2), p.277-282
Main Authors: Mirzazadeh, Mohammad, Arnous, A. H., Mahmood, M. F., Zerrad, Essaid, Biswas, Anjan
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Mechanical Engineering
Nonlinearity
Original Paper
Solitary waves
Time dependence
Vibration
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Summary:In this paper, the resonant nonlinear Schrödinger’s equation is studied with four forms of nonlinearity and time-dependent coefficients. The trial solution method is employed to solve the governing equations. Solitons and singular periodic solutions are obtained. The constraint conditions naturally emerge from the solution structure that are needed for its existence.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-1989-1