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

35 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

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10.1016/j.ijleo.2016.09.122

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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.",

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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

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DO - 10.1016/j.ijleo.2016.09.122

M3 - Article

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VL - 127

SP - 12056

EP - 12062

JO - Optik

JF - Optik

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ER -

Optical solitons and conservation laws with anti-cubic nonlinearity

Abstract

Keywords

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