Optical solitons in nano-fibers with Kundu-Eckhaus equation by Lie symmetry analysis

Sachin Kumar; Qin Zhou; Anjan Biswas; Milivoj Belic

Optical solitons in nano-fibers with Kundu-Eckhaus equation by Lie symmetry analysis

Sachin Kumar, Qin Zhou^*, Anjan Biswas, Milivoj Belic

^*Corresponding author for this work

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

25 Citations (Scopus)

Abstract

This paper studies similarity solutions of Kundu-Eckhaus (KE) equation that models wave propagation in a dispersive medium such as in optical waveguide. Lie classical method is applied to obtain symmetries of KE equation and then using these symmetries reduction to ordinary differential equations (ODEs) is obtained. The corresponding exact solutions of KE equation are also presented.

Original language	English
Pages (from-to)	21-24
Number of pages	4
Journal	Optoelectronics and Advanced Materials, Rapid Communications
Volume	10
Issue number	1-2
Publication status	Published - 1 Jan 2016
Externally published	Yes

Keywords

Kundu-Eckhaus (KE) equation
Lie classical method
Solitons

Cite this

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title = "Optical solitons in nano-fibers with Kundu-Eckhaus equation by Lie symmetry analysis",

abstract = "This paper studies similarity solutions of Kundu-Eckhaus (KE) equation that models wave propagation in a dispersive medium such as in optical waveguide. Lie classical method is applied to obtain symmetries of KE equation and then using these symmetries reduction to ordinary differential equations (ODEs) is obtained. The corresponding exact solutions of KE equation are also presented.",

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T1 - Optical solitons in nano-fibers with Kundu-Eckhaus equation by Lie symmetry analysis

AU - Kumar, Sachin

AU - Zhou, Qin

AU - Biswas, Anjan

AU - Belic, Milivoj

PY - 2016/1/1

Y1 - 2016/1/1

N2 - This paper studies similarity solutions of Kundu-Eckhaus (KE) equation that models wave propagation in a dispersive medium such as in optical waveguide. Lie classical method is applied to obtain symmetries of KE equation and then using these symmetries reduction to ordinary differential equations (ODEs) is obtained. The corresponding exact solutions of KE equation are also presented.

AB - This paper studies similarity solutions of Kundu-Eckhaus (KE) equation that models wave propagation in a dispersive medium such as in optical waveguide. Lie classical method is applied to obtain symmetries of KE equation and then using these symmetries reduction to ordinary differential equations (ODEs) is obtained. The corresponding exact solutions of KE equation are also presented.

KW - Kundu-Eckhaus (KE) equation

KW - Lie classical method

KW - Solitons

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M3 - Article

AN - SCOPUS:84959186558

SN - 1842-6573

VL - 10

SP - 21

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JO - Optoelectronics and Advanced Materials, Rapid Communications

JF - Optoelectronics and Advanced Materials, Rapid Communications

IS - 1-2

ER -

Optical solitons in nano-fibers with Kundu-Eckhaus equation by Lie symmetry analysis

Abstract

Keywords

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