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

[21] LIE SYMMETRY ANALYSIS AND EXACT SOLUTIONS FOR CONFORMABLE TIME FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS
Cheng, Xiaoyu
Wang, Lizhen
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, : 957 - 977
[22] Lie symmetry analysis, explicit solutions and conservation laws for the space-time fractional nonlinear evolution equations
Inc, Mustafa
Yusuf, Abdullahi
Aliyu, Aliyu Isa
Baleanu, Dumitru
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 496 : 371 - 383
[23] Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations
Liu, Hanze
Li, Jibin
Liu, Lei
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 368 (02) : 551 - 558
[24] Lie Symmetry Analysis, Backlund Transformations and Exact Solutions to (2+1)-Dimensional Burgers' Types of Equations
Liu Han-Ze
Li Ji-Bin
Liu Lei
COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 57 (05) : 737 - 742
[25] Lie symmetry analysis, conservation laws and analytical solutions for chiral nonlinear Schrodinger equation in (2+1)-dimensions
Mao, Jin-Jin
Tian, Shou-Fu
Zhang, Tian-Tian
Yan, Xing-Jie
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2020, 25 (03): : 358 - 377
[26] Exact analytical soliton solutions of N-component coupled nonlinear Schr?dinger equations with arbitrary nonlinear parameters
Mao, Ning
Zhao, Li-Chen
PHYSICAL REVIEW E, 2022, 106 (06)
[27] The Lie symmetry analysis and dynamics of exact solutions for variable coefficients (2+1)-dimensional coupled burgers equation
Liu, Jinzhou
Yan, Xinying
Jin, Meng
Xin, Xiangpeng
PHYSICA SCRIPTA, 2022, 97 (08)
[28] Lie Symmetry Analysis,Bcklund Transformations and Exact Solutions to (2+1)-Dimensional Burgers' Types of Equations
刘汉泽
李继彬
刘磊
Communications in Theoretical Physics, 2012, (05) : 737 - 742
[29] Lie analysis, conserved vectors, nonlinear self-adjoint classification and exact solutions of generalized (N
Hussain, Amjad
Zia, Muhammad Khubaib
Nisar, Kottakkaran Sooppy
Vijayakumar, Velusamy
Khan, Ilyas
AIMS MATHEMATICS, 2022, 7 (07): : 13139 - 13168
[30] Lie symmetries, exact solutions and conservation laws of time fractional coupled (2+1)-dimensional nonlinear Schrödinger equations
Yu, Jicheng
Feng, Yuqiang
INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION, 2024,

← 1 2 3 4 →