New solitons solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity

被引：283

作者：

Rezazadeh, Hadi ^{[1
]}

机构：

[1] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran

来源：

OPTIK | 2018年 / 167卷

关键词：

The new extended direct algebraic method; Ginzburg-Landau equation with Kerr law nonlinearity; Solitons solutions; 1ST INTEGRAL METHOD; ZAKHAROV-KUZNETSOV EQUATION; TIME-DEPENDENT COEFFICIENTS; SINGULAR OPTICAL SOLITONS; EXP-FUNCTION METHOD; SCHRODINGERS EQUATION; DARK; FIBERS;

D O I：

10.1016/j.ijleo.2018.04.026

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper, we find new solitons solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity according to the new extended direct algebraic method. When parameters involving this method are taken to be special values we can obtain the solitary wave solutions which is derived from other methods such as, the (G'/G)-expansion method, the modified Kudryashov method, the extended tanh-function method and so on. It is shown that the new extended direct algebraic method, with the help of symbolic computation, provides a more powerful mathematical tool for many other solving nonlinear partial differential equations. (C) 2018 Elsevier GmbH. All rights reserved.

引用

页码：218 / 227

页数：10

共 27 条

[11] The first integral method applied to the Bogoyavlenskii equations by means of conformable fractional derivative [J].

Eslami, Mostafa ;

Khodadad, Farid Samsami ;

Nazari, Fakhroddin ;

Rezazadeh, Hadi .

OPTICAL AND QUANTUM ELECTRONICS, 2017, 49 (12)

[12] Exact solutions to the space-time fractional Schrodinger-Hirota equation and the space-time modified KDV-Zakharov-Kuznetsov equation [J].

Eslami, Mostafa ;

Rezazadeh, Hadi ;

Rezazadeh, Mohammadreza ;

Mosavi, Seid Saied .

OPTICAL AND QUANTUM ELECTRONICS, 2017, 49 (08)

[13] The first integral method for Wu-Zhang system with conformable time-fractional derivative [J].

Eslami, Mostafa ;

Rezazadeh, Hadi .

CALCOLO, 2016, 53 (03) :475-485

[14] Modified Kudryashov method for solving the conformable time-fractional Klein-Gordon equations with quadratic and cubic nonlinearities [J].

Hosseini, K. ;

Mayeli, P. ;

Ansari, R. .

OPTIK, 2017, 130 :737-742

[15] Soliton solutions of the conformable fractional Zakharov-Kuznetsov equation with dual-power law nonlinearity [J].

Khodadad, Farid Samsami ;

Nazari, Fakhroddin ;

Eslami, Mostafa ;

Rezazadeh, Hadi .

OPTICAL AND QUANTUM ELECTRONICS, 2017, 49 (11)

[16] Optical solitons with complex Ginzburg-Landau equation [J].

Mirzazadeh, Mohammad ;

Ekici, Mehmet ;

Sonmezoglu, Abdullah ;

Eslami, Mostafa ;

Zhou, Qin ;

Kara, Abdul H. ;

Milovic, Daniela ;

Majid, Fayequa B. ;

Biswas, Anjan ;

Belic, Milivoj .

NONLINEAR DYNAMICS, 2016, 85 (03) :1979-2016

[17] 1-Soliton solution of KdV6 equation [J].

Mirzazadeh, Mohammad ;

Eslami, Mostafa ;

Biswas, Anjan .

NONLINEAR DYNAMICS, 2015, 80 (1-2) :387-396

[18]

Neirameh A, 2015, PALEST J MATH, V2, P386

[19] New generalized hyperbolic functions and auto-Backlund transformation to find new exact solutions of the (2+1)-dimensional NNV equation [J].

Ren, Yujie ;

Zhang, Hongqing .

PHYSICS LETTERS A, 2006, 357 (06) :438-448

[20] Optical solitons of Lakshmanan-Porsezian-Daniel model with a couple of nonlinearities [J].

Rezazadeh, Hadi ;

Mirzazadeh, Mohammad ;

Mirhosseini-Alizamini, Seyed Mehdi ;

Neirameh, Ahmad ;

Eslami, Mostafa ;

Zhou, Qin .

OPTIK, 2018, 164 :414-423

← 1 2 3 →