Lie symmetry analysis and exact solutions to N-coupled nonlinear SchrÖdinger’s equations with kerr and parabolic law nonlinearities

Yakup Yildirim; Emrullah Yaşar; Houria Triki; Qin Zhou; Seithuti P. Moshokoa; Malik Zaka Ullah; Anjan Biswas; Milivoj Belic

Lie symmetry analysis and exact solutions to N-coupled nonlinear SchrÖdinger’s equations with kerr and parabolic law nonlinearities

Yakup Yildirim, Emrullah Yaşar, Houria Triki, Qin Zhou, Seithuti P. Moshokoa, Malik Zaka Ullah, Anjan Biswas, Milivoj Belic

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

5 Citations (Scopus)

Abstract

This paper addresses N-coupled nonlinear Schrödinger’s equation with spatio-temporal dispersion for Kerr and parabolic laws of nonlinearity by the aid of Lie symmetry analysis. We systematically construct similarity reductions to the derived ordinary differential equations by Lie group analysis. These equations lead to exact solutions.

Original language	English
Article number	103
Journal	Romanian Journal of Physics
Volume	63
Issue number	1-2
Publication status	Published - 2018
Externally published	Yes

Keywords

Lie symmetry analysis
Nonlinear Schrödinger’s equation
Optical solitons
Spatio-temporal dispersion

Cite this

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title = "Lie symmetry analysis and exact solutions to N-coupled nonlinear Schr{\"O}dinger{\textquoteright}s equations with kerr and parabolic law nonlinearities",

abstract = "This paper addresses N-coupled nonlinear Schr{\"o}dinger{\textquoteright}s equation with spatio-temporal dispersion for Kerr and parabolic laws of nonlinearity by the aid of Lie symmetry analysis. We systematically construct similarity reductions to the derived ordinary differential equations by Lie group analysis. These equations lead to exact solutions.",

keywords = "Lie symmetry analysis, Nonlinear Schr{\"o}dinger{\textquoteright}s equation, Optical solitons, Spatio-temporal dispersion",

author = "Yakup Yildirim and Emrullah Ya{\c s}ar and Houria Triki and Qin Zhou and Moshokoa, {Seithuti P.} and Ullah, {Malik Zaka} and Anjan Biswas and Milivoj Belic",

year = "2018",

language = "English",

volume = "63",

journal = "Romanian Journal of Physics",

issn = "1221-146X",

publisher = "Publishing House of the Romanian Academy",

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T1 - Lie symmetry analysis and exact solutions to N-coupled nonlinear SchrÖdinger’s equations with kerr and parabolic law nonlinearities

AU - Yildirim, Yakup

AU - Yaşar, Emrullah

AU - Triki, Houria

AU - Zhou, Qin

AU - Moshokoa, Seithuti P.

AU - Ullah, Malik Zaka

AU - Biswas, Anjan

AU - Belic, Milivoj

PY - 2018

Y1 - 2018

N2 - This paper addresses N-coupled nonlinear Schrödinger’s equation with spatio-temporal dispersion for Kerr and parabolic laws of nonlinearity by the aid of Lie symmetry analysis. We systematically construct similarity reductions to the derived ordinary differential equations by Lie group analysis. These equations lead to exact solutions.

AB - This paper addresses N-coupled nonlinear Schrödinger’s equation with spatio-temporal dispersion for Kerr and parabolic laws of nonlinearity by the aid of Lie symmetry analysis. We systematically construct similarity reductions to the derived ordinary differential equations by Lie group analysis. These equations lead to exact solutions.

KW - Lie symmetry analysis

KW - Nonlinear Schrödinger’s equation

KW - Optical solitons

KW - Spatio-temporal dispersion

UR - http://www.scopus.com/inward/record.url?scp=85043777312&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85043777312

SN - 1221-146X

VL - 63

JO - Romanian Journal of Physics

JF - Romanian Journal of Physics

IS - 1-2

M1 - 103

ER -

Lie symmetry analysis and exact solutions to N-coupled nonlinear SchrÖdinger’s equations with kerr and parabolic law nonlinearities

Abstract

Keywords

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