Optical solitons with quadratic nonlinearity by lie symmetry analysis

Sachin Kumar; Michelle Savescu; Qin Zhou; Anjan Biswas; Milivoj Belic

Optical solitons with quadratic nonlinearity by lie symmetry analysis

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

^*Corresponding author for this work

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

11 Citations (Scopus)

Abstract

This paper studies similarity solutions of quadratic nonlinear media in presence of spatio-temporal dispersion and inter-modal dispersion. Lie classical method is applied to quadratic nonlinear media and some exact solutions are presented. Later singular soliton solutions are also retrieved by the ansatz approach.

Original language	English
Pages (from-to)	1347-1352
Number of pages	6
Journal	Optoelectronics and Advanced Materials, Rapid Communications
Volume	9
Issue number	11-12
Publication status	Published - 1 Nov 2015
Externally published	Yes

Keywords

Lie symmetry
Quadratic nonlinearity
Singular solitons

Cite this

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title = "Optical solitons with quadratic nonlinearity by lie symmetry analysis",

abstract = "This paper studies similarity solutions of quadratic nonlinear media in presence of spatio-temporal dispersion and inter-modal dispersion. Lie classical method is applied to quadratic nonlinear media and some exact solutions are presented. Later singular soliton solutions are also retrieved by the ansatz approach.",

keywords = "Lie symmetry, Quadratic nonlinearity, Singular solitons",

author = "Sachin Kumar and Michelle Savescu and Qin Zhou and Anjan Biswas and Milivoj Belic",

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journal = "Optoelectronics and Advanced Materials, Rapid Communications",

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TY - JOUR

T1 - Optical solitons with quadratic nonlinearity by lie symmetry analysis

AU - Kumar, Sachin

AU - Savescu, Michelle

AU - Zhou, Qin

AU - Biswas, Anjan

AU - Belic, Milivoj

PY - 2015/11/1

Y1 - 2015/11/1

N2 - This paper studies similarity solutions of quadratic nonlinear media in presence of spatio-temporal dispersion and inter-modal dispersion. Lie classical method is applied to quadratic nonlinear media and some exact solutions are presented. Later singular soliton solutions are also retrieved by the ansatz approach.

AB - This paper studies similarity solutions of quadratic nonlinear media in presence of spatio-temporal dispersion and inter-modal dispersion. Lie classical method is applied to quadratic nonlinear media and some exact solutions are presented. Later singular soliton solutions are also retrieved by the ansatz approach.

KW - Lie symmetry

KW - Quadratic nonlinearity

KW - Singular solitons

UR - https://www.scopus.com/pages/publications/84950120147

M3 - Article

AN - SCOPUS:84950120147

SN - 1842-6573

VL - 9

SP - 1347

EP - 1352

JO - Optoelectronics and Advanced Materials, Rapid Communications

JF - Optoelectronics and Advanced Materials, Rapid Communications

IS - 11-12

ER -

Optical solitons with quadratic nonlinearity by lie symmetry analysis

Abstract

Keywords

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