BRIGHT AND DARK SOLITONS IN OPTICAL MATERIALS WITH POLYNOMIAL LAW NONLINEARITY

被引：0

作者：

Elhadedy, H. ^{[1
]}

Latif, M. S. Abdel ^{[1
]}

Elsonbaty, A. ^{[1
]}

Kader, A. H. Abdel ^{[1
]}

Liu, Wenjun ^{[2
]}

Zhou, Qin ^{[3
]}

机构：

[1] Mansoura Univ, Fac Engn, Math & Engn Phys Dept, Mansoura 35516, Egypt

[2] Beijing Univ Posts & Telecommun, Sch Sci, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

[3] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Hubei, Peoples R China

来源：

PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2019年 / 20卷 / 01期

基金：

中国国家自然科学基金;

关键词：

soliton solutions; bright solitons; dark solitons; nonlinear optical materials; Lie symmetry method; Jacobi elliptic functions; DEPENDENT COEFFICIENTS; LOCALIZED STRUCTURES; CONSERVATION-LAWS; EQUATION; SELECTION;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：37 / 43

页数：7

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