Optical solitons with complex Ginzburg-Landau equation

被引：147

作者：

Mirzazadeh, Mohammad ^{[1
]}

Ekici, Mehmet ^{[2
]}

Sonmezoglu, Abdullah ^{[2
]}

Eslami, Mostafa ^{[3
]}

Zhou, Qin ^{[4
]}

Kara, Abdul H. ^{[5
]}

Milovic, Daniela ^{[6
]}

Majid, Fayequa B. ^{[7
]}

Biswas, Anjan ^{[8
,9
]}

Belic, Milivoj ^{[10
]}

机构：

[1] Univ Guilan, Fac Math Sci, Dept Math, Rasht, Iran

[2] Bozok Univ, Fac Sci & Arts, Dept Math, TR-66100 Yozgat, Turkey

[3] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

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

[5] Univ Witwatersrand, Sch Math, Ctr Differential Equat Continuum Mech & Applicat, ZA-2050 Johannesburg, South Africa

[6] Univ Nis, Dept Telecommun, Fac Elect Engn, Aleksandra Medvedeva 14, Nish 18000, Serbia

[7] Alabama A&M Univ, Dept Phys Chem & Math, Normal, AL 35811 USA

[8] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA

[9] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

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

来源：

NONLINEAR DYNAMICS | 2016年 / 85卷 / 03期

关键词：

Solitons; Integrability; Constraints; PARABOLIC LAW NONLINEARITY; SINE-COSINE METHOD; WAVE SOLUTIONS; PERIODIC-SOLUTIONS; METAMATERIALS; KERR;

D O I：

10.1007/s11071-016-2810-5

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The paper revisits in a systematic way the complex Ginzburg-Landau equation with Kerr and power law nonlinearities. Several integration techniques are applied to retrieve various soliton solutions to the model for both forms of nonlinearity. Bright, dark as well as singular soliton solutions are obtained. Several other solutions such as periodic singular solutions and plane waves emerge as a by-product of integration algorithms. Constraint conditions hold all of these solutions in place. The numerical simulations for bright soliton solutions are given for Kerr and power law.

引用

页码：1979 / 2016

页数：38

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