Optical solitons in nonlinear directional couplers by sine–cosine function method and Bernoulli’s equation approach

This paper obtains soliton solutions to optical couplers by two methods. These are sine–cosine function method and Bernoulli’s equation approach. There are four laws that are touched upon in this paper. These are Kerr law, power law, parabolic law and dual-power law. The first integration scheme is...

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Bibliographic Details
Published in:Nonlinear dynamics 2015-09, Vol.81 (4), p.1933-1949
Main Authors: Mirzazadeh, Mohammad, Eslami, Mostafa, Zerrad, Essaid, Mahmood, Mohammad F., Biswas, Anjan, Belic, Milivoj
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Couplers
Directional couplers
Dynamical Systems
Engineering
Fractals
Mathematical analysis
Mechanical Engineering
Nonlinear dynamics
Nonlinearity
Original Paper
Power law
Queuing theory
Solitary waves
Solitons
Trigonometric functions
Vibration
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Summary:This paper obtains soliton solutions to optical couplers by two methods. These are sine–cosine function method and Bernoulli’s equation approach. There are four laws that are touched upon in this paper. These are Kerr law, power law, parabolic law and dual-power law. The first integration scheme is applicable to Kerr and power laws only where bright soliton solutions are retrievable. The second tool is applicable to parabolic and dual-power laws only that leads to dark and singular solitons for these two nonlinear media.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2117-y