Optical soliton solutions of the generalized higher-order nonlinear Schrodinger equations and their applications

被引：49

作者：

Arshad, M. ^{[1
]}

Seadawy, Aly R. ^{[1
,2
,3
]}

Lu, Dianchen ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China

[2] Taibah Univ, Fac Sci, Math Dept, Al Madinah Al Munawarah, Saudi Arabia

[3] Beni Suef Univ, Math Dept, Fac Sci, Bani Suwayf, Egypt

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2018年 / 50卷 / 11期

关键词：

The resonant NLSE; The NLSE with the dual-power law nonlinearity; Modified extended direct algebraic method; Solitons; solitary wave solutions; Elliptic function solutions; Periodic solutions; TRAVELING-WAVE SOLUTIONS; DISPERSIVE BLOW-UP; MODULATION INSTABILITY; EXPLICIT SOLUTIONS; EVOLUTION-EQUATIONS; 1-SOLITON SOLUTION; DISCRETE; BRIGHT; KDV;

D O I：

10.1007/s11082-017-1260-8

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The propagation of the optical solitons is usually governed by the higher order nonlinear Schrodinger equations (NLSE). In optics, the NLSE modelizes light-wave propagation in an optical fiber. In this article, modified extended direct algebraic method with add of symbolic computation is employed to construct bright soliton, dark soliton, periodic solitary wave and elliptic function solutions of two higher order NLSEs such as the resonant NLSE and NLSE with the dual-power law nonlinearity. Realizing the properties of static and dynamic for these kinds of solutions are very important in various many aspects and have important applications. The obtaining results confirm that the current method is powerful and effectiveness which can be employed to other complex problems that arising in mathematical physics.

引用

页数：16

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