Bright and dark solitons in optical materials with polynomial law nonlinearity

H. Elhadedy; M. S. Abdel Latif; A. Elsonbaty; A. H. Abdel Kader; Wenjun Liu; Qin Zhou

Bright and dark solitons in optical materials with polynomial law nonlinearity

H. Elhadedy, M. S. Abdel Latif, A. Elsonbaty, A. H. Abdel Kader, Wenjun Liu, Qin Zhou

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

9 Scopus citations

Abstract

We find families of analytical solutions for a recently proposed nonlinear partial differential equation describing pulse propagation in optical materials with polynomial law nonlinearity. By employing the Lie symmetry method, new explicit bright and dark soliton solutions are given. Furthermore, new doubly periodic solutions in terms of Jacobi elliptic functions are also obtained. The reported solutions have the advantage of being expressed in explicit forms in contrast with other works where they are presented in implicit forms.

Original language	English
Pages (from-to)	37-43
Number of pages	7
Journal	Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science
Volume	20
Issue number	1
State	Published - Jan 2019
Externally published	Yes

Keywords

Bright solitons
Dark solitons
Lie symmetry method; Jacobi elliptic functions
Nonlinear optical materials
Soliton solutions

Cite this

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title = "Bright and dark solitons in optical materials with polynomial law nonlinearity",

abstract = "We find families of analytical solutions for a recently proposed nonlinear partial differential equation describing pulse propagation in optical materials with polynomial law nonlinearity. By employing the Lie symmetry method, new explicit bright and dark soliton solutions are given. Furthermore, new doubly periodic solutions in terms of Jacobi elliptic functions are also obtained. The reported solutions have the advantage of being expressed in explicit forms in contrast with other works where they are presented in implicit forms.",

keywords = "Bright solitons, Dark solitons, Lie symmetry method; Jacobi elliptic functions, Nonlinear optical materials, Soliton solutions",

author = "H. Elhadedy and \{Abdel Latif\}, \{M. S.\} and A. Elsonbaty and \{Abdel Kader\}, \{A. H.\} and Wenjun Liu and Qin Zhou",

year = "2019",

month = jan,

language = "English",

volume = "20",

pages = "37--43",

journal = "Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science",

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T1 - Bright and dark solitons in optical materials with polynomial law nonlinearity

AU - Elhadedy, H.

AU - Abdel Latif, M. S.

AU - Elsonbaty, A.

AU - Abdel Kader, A. H.

AU - Liu, Wenjun

AU - Zhou, Qin

PY - 2019/1

Y1 - 2019/1

N2 - We find families of analytical solutions for a recently proposed nonlinear partial differential equation describing pulse propagation in optical materials with polynomial law nonlinearity. By employing the Lie symmetry method, new explicit bright and dark soliton solutions are given. Furthermore, new doubly periodic solutions in terms of Jacobi elliptic functions are also obtained. The reported solutions have the advantage of being expressed in explicit forms in contrast with other works where they are presented in implicit forms.

AB - We find families of analytical solutions for a recently proposed nonlinear partial differential equation describing pulse propagation in optical materials with polynomial law nonlinearity. By employing the Lie symmetry method, new explicit bright and dark soliton solutions are given. Furthermore, new doubly periodic solutions in terms of Jacobi elliptic functions are also obtained. The reported solutions have the advantage of being expressed in explicit forms in contrast with other works where they are presented in implicit forms.

KW - Bright solitons

KW - Dark solitons

KW - Lie symmetry method; Jacobi elliptic functions

KW - Nonlinear optical materials

KW - Soliton solutions

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M3 - Article

AN - SCOPUS:85064536189

SN - 1454-9069

VL - 20

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EP - 43

JO - Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science

JF - Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science

IS - 1

ER -

Bright and dark solitons in optical materials with polynomial law nonlinearity

Abstract

Keywords

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