Spatial similaritons in the (2+1)-dimensional inhomogeneous cubic-quintic nonlinear Schrodinger equation

被引：17

作者：

Dai, Chao-Qing ^{[1
]}

Ye, Jian-Feng ^{[2
]}

Chen, Xin-Fen ^{[3
]}

机构：

[1] Zhejiang Agr & Forestry Univ, Sch Sci, Linan 311300, Zhejiang, Peoples R China

[2] Lishui Vocat & Tech Coll, Dept Informat & Electromech Engn, Lishui 323000, Zhejiang, Peoples R China

[3] Wuxi City Coll Vocat Technol, Elect & Informat Engn Dept, Wuxi 214153, Jiangsu, Peoples R China

来源：

OPTICS COMMUNICATIONS | 2012年 / 285卷 / 19期

基金：

中国国家自然科学基金;

关键词：

(2+1)-dimensional inhomogeneous cubic-quintic nonlinear Schrodinger equation; Self-similar solutions; Dynamic behaviors; PARABOLIC PULSE GENERATION; SOLITARY WAVE SOLUTIONS; FUNDAMENTAL SOLITONS; OPTICAL-FIBERS; DISPERSION; COEFFICIENTS; COMPRESSION; GUIDES;

D O I：

10.1016/j.optcom.2012.05.056

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Along the idea of the similarity transformation, analytical spatial similaritons to a (2+1)-dimensional inhomogeneous cubic-quintic nonlinear Schrodinger equation with distributed diffraction and gain are derived when some certain compatibility conditions are satisfied. Based on these exact solutions, we investigate dynamic behaviors of self-similar cnoidal waves and chirped similaritons in the hyperbolically and Gaussian decreasing diffraction waveguides. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：3988 / 3994

页数：7

共 39 条

[1] Intrinsic localized modes in arrays of atomic-molecular Bose-Einstein condensates [J].

Abdullaev, FK ;

Konotop, VV .

PHYSICAL REVIEW A, 2003, 68 (01) :5

[2] COUPLED NONLINEAR EVOLUTION EQUATIONS SOLVABLE VIA INVERSE SPECTRAL TRANSFORM, AND SOLITONS THAT COME BACK - BOOMERON [J].

CALOGERO, F ;

DEGASPERIS, A .

LETTERE AL NUOVO CIMENTO, 1976, 16 (14) :425-433

[3] SOLITONS IN NONUNIFORM MEDIA [J].

CHEN, HH ;

LIU, CS .

PHYSICAL REVIEW LETTERS, 1976, 37 (11) :693-697

[4] Chirped Domain Wall Arrays and Solitary Waves in a Generalized Nonlinear Schrodinger Equation [J].

Chen Jun-Lang ;

Dai Chao-Qing ;

Wang Xiao-Gang .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 55 (02) :335-339

[5] Nonlinear tunneling effect in the (2+1)-dimensional cubic-quintic nonlinear Schrodinger equation with variable coefficients [J].

Dai, C. Q. ;

Yang, Q. ;

He, J. D. ;

Wang, Y. Y. .

EUROPEAN PHYSICAL JOURNAL D, 2011, 63 (01) :141-148

[6] Quasi-two-dimensional Bose-Einstein condensates with spatially modulated cubic-quintic nonlinearities [J].

Dai, Chao-Qing ;

Wang, Deng-Shan ;

Wang, Liang-Liang ;

Zhang, Jie-Fang ;

Liu, W. M. .

ANNALS OF PHYSICS, 2011, 326 (09) :2356-2368

[7] Exact travelling wave solutions of the discrete nonlinear Schrodinger equation and the hybrid lattice equation obtained via the exp-function method [J].

Dai, Chao-Qing ;

Wang, Yue-Yue .

PHYSICA SCRIPTA, 2008, 78 (01)

[8] Nonautonomous spatiotemporal localized structures in the inhomogeneous optical fibers: Interaction and control [J].

Dai, Chaoqing ;

Wang, Xiaogang ;

Zhang, Jiefang .

ANNALS OF PHYSICS, 2011, 326 (03) :645-656

[9] Exact spatial similaritons and rogons in 2D graded-index waveguides [J].

Dai, Chaoqing ;

Zhang, Jiefang .

OPTICS LETTERS, 2010, 35 (15) :2651-2653

[10] Nonlinear similariton tunneling effect in the birefringent fiber [J].

Dai, Chaoqing ;

Wang, Yueyue ;

Zhang, Jiefang .

OPTICS EXPRESS, 2010, 18 (16) :17548-17554

← 1 2 3 4 →