Traveling wave and exact solutions for the perturbed nonlinear Schrodinger equation with Kerr law nonlinearity

被引：37

作者：

Akram, Ghazala ^{[1
]}

Mahak, Nadia ^{[1
]}

机构：

[1] Univ Punjab, Dept Math, Quaid E Azam Campus, Lahore 54590, Pakistan

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2018年 / 133卷 / 06期

关键词：

1ST INTEGRAL METHOD; (G'/G)-EXPANSION METHOD; EVOLUTION; SOLITONS;

D O I：

10.1140/epjp/i2018-12061-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The nonlinear Schrodinger equation (NLSE) with the aid of three order dispersion terms is investigated to find the exact solutions via the extended (G'/G(2))-expansion method and the first integral method. Many exact traveling wave solutions, such as trigonometric, hyperbolic, rational, soliton and complex function solutions, are characterized with some free parameters of the problem studied. It is corroborated that the proposed techniques are manageable, straightforward and powerful tools to find the exact solutions of nonlinear partial differential equations (PDEs). Some figures are plotted to describe the propagation of traveling wave solutions expressed by the hyperbolic functions, trigonometric functions and rational functions.

引用

页数：9

共 31 条

[1] Application of the first integral method for solving (1+1) dimensional cubic-quintic complex Ginzburg-Landau equation [J].

Akram, Ghazala ;

Mahak, Nadia .

OPTIK, 2018, 164 :210-217

[2] Analytical solution of the Korteweg-de Vries equation and microtubule equation using the first integral method [J].

Akram, Ghazala ;

Mahak, Nadia .

OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (03)

[3] Solitons in a third-order nonlinear Schrodinger equation with the pseudo-Raman scattering and spatially decreasing second-order dispersion [J].

Aseeva, N. V. ;

Gromov, E. M. ;

Onosova, I. V. ;

Tyutin, V. V. .

JETP LETTERS, 2016, 103 (10) :653-657

[4]

Biswas A., 2006, Introduction to Non-Kerr Law Optical solitons

[5] Solitons in Optical Metamaterials by Functional Variable Method and First Integral Approach [J].

Biswas, Anjan ;

Mirzazadeh, M. ;

Eslami, Mostafa ;

Milovic, Daniela ;

Belic, Milivoj .

FREQUENZ, 2014, 68 (11-12) :525-530

[6]

Bourbaki N., 1972, Commutative Algebra

[7]

Buhe Eerdun, 2012, J INNER MONGOLIA NOR, V41, P120

[8] Exact solutions of nonlinear Schrodinger's equation with dual power-law nonlinearity by extended trial equation method [J].

Bulut, Hasan ;

Pandir, Yusuf ;

Demiray, Seyma Tuluce .

WAVES IN RANDOM AND COMPLEX MEDIA, 2014, 24 (04) :439-451

[9] Spatiotemporal Hermite-Gaussian solitons of a (3+1)-dimensional partially nonlocal nonlinear Schrodinger equation [J].

Dai, Chao-Qing ;

Wang, Yu ;

Liu, Jiu .

NONLINEAR DYNAMICS, 2016, 84 (03) :1157-1161

[10] Traveling wave solutions of a (2+1)-dimensional Zakharov-like equation by the first integral method and the tanh method [J].

Darvishi, M. T. ;

Arbabi, S. ;

Najafi, M. ;

Wazwaz, A. M. .

OPTIK, 2016, 127 (16) :6312-6321

← 1 2 3 4 →