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

Mohammad Mirzazadeh; Mostafa Eslami; Essaid Zerrad; Mohammad F. Mahmood; Anjan Biswas; Milivoj Belic

doi:10.1007/s11071-015-2117-y

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

Mohammad Mirzazadeh, Mostafa Eslami, Essaid Zerrad, Mohammad F. Mahmood, Anjan Biswas^*, Milivoj Belic

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

225 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1933-1949
Number of pages	17
Journal	Nonlinear Dynamics
Volume	81
Issue number	4
DOIs	https://doi.org/10.1007/s11071-015-2117-y
Publication status	Published - 14 Sept 2015
Externally published	Yes

Keywords

Couplers
Integrability
Solitons

Access to Document

10.1007/s11071-015-2117-y

Cite this

@article{4c4b572224ae4c66bbb7ef5b9e0ff2fd,

title = "Optical solitons in nonlinear directional couplers by sine–cosine function method and Bernoulli{\textquoteright}s equation approach",

abstract = "This paper obtains soliton solutions to optical couplers by two methods. These are sine–cosine function method and Bernoulli{\textquoteright}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.",

keywords = "Couplers, Integrability, Solitons",

author = "Mohammad Mirzazadeh and Mostafa Eslami and Essaid Zerrad and Mahmood, {Mohammad F.} and Anjan Biswas and Milivoj Belic",

note = "Publisher Copyright: {\textcopyright} 2015, Springer Science+Business Media Dordrecht.",

year = "2015",

month = sep,

day = "14",

doi = "10.1007/s11071-015-2117-y",

language = "English",

volume = "81",

pages = "1933--1949",

journal = "Nonlinear Dynamics",

issn = "0924-090X",

publisher = "Springer Netherlands",

number = "4",

}

TY - JOUR

T1 - Optical solitons in nonlinear directional couplers by sine–cosine function method and Bernoulli’s equation approach

AU - Mirzazadeh, Mohammad

AU - Eslami, Mostafa

AU - Zerrad, Essaid

AU - Mahmood, Mohammad F.

AU - Biswas, Anjan

AU - Belic, Milivoj

PY - 2015/9/14

Y1 - 2015/9/14

N2 - 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.

AB - 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.

KW - Couplers

KW - Integrability

KW - Solitons

UR - http://www.scopus.com/inward/record.url?scp=84938970670&partnerID=8YFLogxK

U2 - 10.1007/s11071-015-2117-y

DO - 10.1007/s11071-015-2117-y

M3 - Article

AN - SCOPUS:84938970670

SN - 0924-090X

VL - 81

SP - 1933

EP - 1949

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 4

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this