Optical solitons and conservation laws with anti-cubic nonlinearity

Houria Triki; Abdul H. Kara; Anjan Biswas; Seithuti P. Moshokoa; Milivoj Belic

doi:10.1016/j.ijleo.2016.09.122

Optical solitons and conservation laws with anti-cubic nonlinearity

Houria Triki
, Abdul H. Kara
, Anjan Biswas^*
, Seithuti P. Moshokoa
, Milivoj Belic

^*Corresponding author for this work

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

36 Citations (Scopus)

Abstract

This paper obtains bright, dark and singular 1-soliton solution to nonlinear Schrödinger's equation that is studied with anti-cubic nonlinearity for optical fibers. The traveling wave hypothesis leads to implicit solution in terms of elliptic functions. The method of undetermined coefficients yields explicit single soliton solutions. Finally, a comprehensive discussion on conservation laws closes the chapter.

Original language	English
Pages (from-to)	12056-12062
Number of pages	7
Journal	Optik
Volume	127
Issue number	24
DOIs	https://doi.org/10.1016/j.ijleo.2016.09.122
Publication status	Published - 1 Dec 2016
Externally published	Yes

Keywords

Anti-cubic nonlinearity
Conservation laws
Solitons

Access to Document

10.1016/j.ijleo.2016.09.122

Cite this

@article{f6bae51424f4440a93c78387ebff1f25,

title = "Optical solitons and conservation laws with anti-cubic nonlinearity",

abstract = "This paper obtains bright, dark and singular 1-soliton solution to nonlinear Schr{\"o}dinger's equation that is studied with anti-cubic nonlinearity for optical fibers. The traveling wave hypothesis leads to implicit solution in terms of elliptic functions. The method of undetermined coefficients yields explicit single soliton solutions. Finally, a comprehensive discussion on conservation laws closes the chapter.",

keywords = "Anti-cubic nonlinearity, Conservation laws, Solitons",

author = "Houria Triki and Kara, \{Abdul H.\} and Anjan Biswas and Moshokoa, \{Seithuti P.\} and Milivoj Belic",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier GmbH",

year = "2016",

month = dec,

day = "1",

doi = "10.1016/j.ijleo.2016.09.122",

language = "English",

volume = "127",

pages = "12056--12062",

journal = "Optik",

issn = "0030-4026",

publisher = "Elsevier GmbH",

number = "24",

}

TY - JOUR

T1 - Optical solitons and conservation laws with anti-cubic nonlinearity

AU - Triki, Houria

AU - Kara, Abdul H.

AU - Biswas, Anjan

AU - Moshokoa, Seithuti P.

AU - Belic, Milivoj

PY - 2016/12/1

Y1 - 2016/12/1

N2 - This paper obtains bright, dark and singular 1-soliton solution to nonlinear Schrödinger's equation that is studied with anti-cubic nonlinearity for optical fibers. The traveling wave hypothesis leads to implicit solution in terms of elliptic functions. The method of undetermined coefficients yields explicit single soliton solutions. Finally, a comprehensive discussion on conservation laws closes the chapter.

AB - This paper obtains bright, dark and singular 1-soliton solution to nonlinear Schrödinger's equation that is studied with anti-cubic nonlinearity for optical fibers. The traveling wave hypothesis leads to implicit solution in terms of elliptic functions. The method of undetermined coefficients yields explicit single soliton solutions. Finally, a comprehensive discussion on conservation laws closes the chapter.

KW - Anti-cubic nonlinearity

KW - Conservation laws

KW - Solitons

UR - https://www.scopus.com/pages/publications/84990931713

U2 - 10.1016/j.ijleo.2016.09.122

DO - 10.1016/j.ijleo.2016.09.122

M3 - Article

AN - SCOPUS:84990931713

SN - 0030-4026

VL - 127

SP - 12056

EP - 12062

JO - Optik

JF - Optik

IS - 24

ER -

Optical solitons and conservation laws with anti-cubic nonlinearity

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this