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.
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页数:12
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