Conservation laws for cubic–quartic optical solitons in Kerr and power law media

Anjan Biswas; Abdul H. Kara; Malik Zaka Ullah; Qin Zhou; Houria Triki; Milivoj Belic

doi:10.1016/j.ijleo.2017.08.047

Conservation laws for cubic–quartic optical solitons in Kerr and power law media

Anjan Biswas, Abdul H. Kara, Malik Zaka Ullah, Qin Zhou^*, Houria Triki, Milivoj Belic

^*Corresponding author for this work

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

127 Citations (Scopus)

Abstract

This paper obtains conservation laws for the cubic–quartic nonlinear Schrödinger's equation that is proposed to be an alternative model for soliton propagation, when the group velocity dispersion is negligibly small. Two laws of nonlinearity are considered, namely Kerr law and power law. The multiplier method obtains the conserved densities for the model, with these two laws.

Original language	English
Pages (from-to)	650-654
Number of pages	5
Journal	Optik
Volume	145
DOIs	https://doi.org/10.1016/j.ijleo.2017.08.047
Publication status	Published - Sept 2017
Externally published	Yes

Keywords

Conservation laws
Cubic–quartic solitons
Kerr law
Power law

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10.1016/j.ijleo.2017.08.047

Cite this

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title = "Conservation laws for cubic–quartic optical solitons in Kerr and power law media",

abstract = "This paper obtains conservation laws for the cubic–quartic nonlinear Schr{\"o}dinger's equation that is proposed to be an alternative model for soliton propagation, when the group velocity dispersion is negligibly small. Two laws of nonlinearity are considered, namely Kerr law and power law. The multiplier method obtains the conserved densities for the model, with these two laws.",

keywords = "Conservation laws, Cubic–quartic solitons, Kerr law, Power law",

author = "Anjan Biswas and Kara, {Abdul H.} and Ullah, {Malik Zaka} and Qin Zhou and Houria Triki and Milivoj Belic",

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AU - Biswas, Anjan

AU - Kara, Abdul H.

AU - Ullah, Malik Zaka

AU - Zhou, Qin

AU - Triki, Houria

AU - Belic, Milivoj

PY - 2017/9

Y1 - 2017/9

N2 - This paper obtains conservation laws for the cubic–quartic nonlinear Schrödinger's equation that is proposed to be an alternative model for soliton propagation, when the group velocity dispersion is negligibly small. Two laws of nonlinearity are considered, namely Kerr law and power law. The multiplier method obtains the conserved densities for the model, with these two laws.

AB - This paper obtains conservation laws for the cubic–quartic nonlinear Schrödinger's equation that is proposed to be an alternative model for soliton propagation, when the group velocity dispersion is negligibly small. Two laws of nonlinearity are considered, namely Kerr law and power law. The multiplier method obtains the conserved densities for the model, with these two laws.

KW - Conservation laws

KW - Cubic–quartic solitons

KW - Kerr law

KW - Power law

UR - http://www.scopus.com/inward/record.url?scp=85027533290&partnerID=8YFLogxK

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DO - 10.1016/j.ijleo.2017.08.047

M3 - Article

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SN - 0030-4026

VL - 145

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EP - 654

JO - Optik

JF - Optik

ER -

Conservation laws for cubic–quartic optical solitons in Kerr and power law media

Abstract

Keywords

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