LIE SYMMETRY ANALYSIS AND EXACT SOLUTIONS TO N-COUPLED NONLINEAR SCHRODINGER'S EQUATIONS WITH KERR AND PARABOLIC LAW NONLINEARITIES

被引：0

作者：

Yildirim, Yakup ^{[1
]}

Yasar, Emrullah ^{[1
]}

Triki, Houria ^{[2
]}

Zhou, Qin ^{[3
]}

Moshokoa, Seithuti P. ^{[4
]}

Ullah, Malik Zaka ^{[5
]}

Biswas, Anjan ^{[4
,5
]}

Belic, Milivoj ^{[6
]}

机构：

[1] Uludag Univ, Fac Arts & Sci, Dept Math, TR-16059 Bursa, Turkey

[2] Badji Mokhtar Univ, Dept Phys, Radiat Phys Lab, Fac Sci, POB 12, Annaba 23000, Algeria

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

[4] Tshwane Univ Technol, Dept Math & Stat, ZA-0008 Pretoria, South Africa

[5] King Abdulaziz Univ, Fac Sci, Dept Math, Operator Theory & Applicat Res Grp, Jeddah 21589, Saudi Arabia

[6] Texas A&M Univ Qatar, Sci Program, POB 23874, Doha, Qatar

来源：

ROMANIAN JOURNAL OF PHYSICS | 2018年 / 63卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

Lie symmetry analysis; nonlinear Schrodinger's equation; optical solitons; spatio-temporal dispersion; OPTICAL SOLITONS; BIREFRINGENT FIBERS; WAVES;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper addresses N-coupled nonlinear Schrodinger's equation with spatio-temporal dispersion for Kerr and parabolic laws of nonlinearity by the aid of Lie symmetry analysis. We systematically construct similarity reductions to the derived ordinary differential equations by Lie group analysis. These equations lead to exact solutions.

引用

页数：12

共 35 条

[1] A Lie symmetry approach to nonlinear Schrodinger's equation with non-Kerr law nonlinearity
Khalique, C. Masood
Biswas, Anjan
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (12) : 4033 - 4040
[2] Exact traveling wave solutions to the fractional coupled nonlinear Schrodinger equations
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APPLIED MATHEMATICS AND COMPUTATION, 2016, 285 : 141 - 148
[3] Generalized optical soliton solutions to the (3+1)-dimensional resonant nonlinear Schrodinger equation with Kerr and parabolic law nonlinearities
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OPTICAL AND QUANTUM ELECTRONICS, 2019, 51 (06)
[4] Stationary Solutions for Nonlinear Schrodinger Equations by Lie Group Analysis
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ACTA PHYSICA POLONICA A, 2019, 136 (01) : 187 - 189
[5] Integrability and soliton solutions for an N-coupled nonlinear Schrodinger system in optical fibers
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Tian, Bo
Li, Min
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PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (19) : 4532 - 4542
[6] Lie symmetry analysis for cubic-quartic nonlinear Schrodinger's equation
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OPTIK, 2018, 169 : 12 - 15
[7] Lie Symmetry Analysis and Exact Solutions of Generalized Fractional Zakharov-Kuznetsov Equations
Li, Changzhao
Zhang, Juan
SYMMETRY-BASEL, 2019, 11 (05):
[8] Nonlinear Schrodinger equations with spatio-temporal dispersion in Kerr, parabolic, power and dual power law media: A novel extended Kudryashov's algorithm and soliton solutions
Yildirim, Yakup
Celik, Nisa
Yasar, Emrullah
RESULTS IN PHYSICS, 2017, 7 : 3116 - 3123
[9] Optical solitons to the (n+1)-dimensional nonlinear Schrodinger's equation with Kerr law and power law nonlinearities using two integration schemes
Inc, Mustafa
Aliyu, Aliyu Isa
Yusuf, Abdullahi
Bayram, Mustafa
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MODERN PHYSICS LETTERS B, 2019, 33 (19):
[10] Multisoliton solutions and energy sharing collisions in coupled nonlinear Schrodinger equations with focusing, defocusing and mixed type nonlinearities
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Kanna, T.
Lakshmanan, M.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2009, 173 : 57 - 80

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