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

共 50 条

[1] Modulation instability and some dark and bright optical solitons in weakly nonlocal media with general polynomial law nonlinearity
Kader, A. H. Abdel
Latif, M. S. Abdel
Baleanu, Dumitru
MODERN PHYSICS LETTERS B, 2020, 34 (04):
[2] Bright and dark optical solitons in birefringent fibers with Hamiltonian perturbations and Kerr law nonlinearity
Biswas, Anjan
Khan, Kaisar R.
Rahman, Atiqur
Yildirim, Ahmet
Hayat, T.
Aldossary, Omar M.
JOURNAL OF OPTOELECTRONICS AND ADVANCED MATERIALS, 2012, 14 (7-8): : 571 - 576
[3] Bright-Dark combo optical solitons with non-local nonlinearity in parabolic law medium
Zhou, Qin
Zhu, Qiuping
Liu, Yaxian
Yao, Ping
Bhrawy, A. H.
Moraru, L.
Biswas, Anjan
OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS, 2014, 8 (9-10): : 837 - 839
[4] Bright and dark solitons of the Rosenau-Kawahara equation with power law nonlinearity
A. Biswas
H. Triki
M. Labidi
Physics of Wave Phenomena, 2011, 19 : 24 - 29
[5] Bright and dark solitons of the Rosenau-Kawahara equation with power law nonlinearity
Biswas, A.
Triki, H.
Labidi, M.
PHYSICS OF WAVE PHENOMENA, 2011, 19 (01) : 24 - 29
[6] Bright optical solitons with Kerr law nonlinearity and fifth order dispersion
Triki, Houria
Azzouzi, Faical
Biswas, Anjan
Moshokoa, Seithuti P.
Belic, Milivoj
OPTIK, 2017, 128 : 172 - 177
[7] Highly dispersive optical solitons of equation with various polynomial nonlinearity law
Kudryashov, Nikolay A.
CHAOS SOLITONS & FRACTALS, 2020, 140
[8] Bright and dark solitons of a weakly nonlocal Schrodinger equation involving the parabolic law nonlinearity
Hosseini, Kamyar
Salahshour, Soheil
Mirzazadeh, Mohammad
OPTIK, 2021, 227
[9] New bright and dark stochastic optical solitons related to an eighth-order NLSE in the presence of higher order polynomial nonlinearity
Nauman Raza
Saima Arshed
Ziyad A. Alhussain
Optical and Quantum Electronics, 2024, 56
[10] New bright and dark stochastic optical solitons related to an eighth-order NLSE in the presence of higher order polynomial nonlinearity
Raza, Nauman
Arshed, Saima
Alhussain, Ziyad A.
OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (03)

← 1 2 3 4 5 →