Bright and dark solitons for the resonant nonlinear Schrodinger's equation with time-dependent coefficients

被引:117
作者
Triki, Houria [2 ]
Hayat, T. [3 ]
Aldossary, Omar M. [4 ]
Biswas, Anjan [1 ]
机构
[1] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA
[2] Badji Mokhtar Univ, Dept Phys, Radiat Phys Lab, Annaba 2300, Algeria
[3] Qaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[4] King Saud Univ, Dept Phys, Riyadh 11451, Saudi Arabia
关键词
Solitons; Integrability; Resonant nonlinear Schrodinger's equation; TRAVELING-WAVE SOLUTIONS; PULSE TRAINS; PROPAGATION; COMPRESSION; GENERATION;
D O I
10.1016/j.optlastec.2012.01.037
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this paper, the resonant nonlinear Schrodinger's equation is studied with five forms of nonlinearity. This equation is also considered with time-dependent coefficients and additionally time-dependent linear attenuation is considered. The ansatz method approach is used to carry out the integration. Both bright and dark soliton solutions are obtained in this paper. The constraint conditions for the existence of soliton solutions are also given. (c) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2223 / 2231
页数:9
相关论文
共 25 条
[1]   Perturbations of dark solitons [J].
Ablowitz, M. J. ;
Nixon, S. D. ;
Horikis, T. P. ;
Frantzeskakis, D. J. .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2011, 467 (2133) :2597-2621
[2]   Impedance matching in RF excited fast axial flow CO2 laser: The role of the capacitance due to laser head [J].
Bhagat, M. S. ;
Biswas, A. K. ;
Rana, L. B. ;
Kukreja, L. M. .
OPTICS AND LASER TECHNOLOGY, 2012, 44 (07) :2217-2222
[3]   Chiral solitons with bohm potential by He's variational principle [J].
Biswas, A. ;
Milovic, D. .
PHYSICS OF ATOMIC NUCLEI, 2011, 74 (05) :755-757
[4]  
Biswas A., 2011, Open Nucl. Part. Phys. J, V4, P21, DOI [10.2174/1874415X01104010021, DOI 10.2174/1874415X01104010021]
[5]   Optical solitons with log-law nonlinearity [J].
Biswas, Anjan ;
Milovic, Daniela .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (12) :3763-3767
[7]  
Gao Y, 2009, COMMUN THEOR PHYS, V52, P581, DOI 10.1088/0253-6102/52/4/05
[8]   Bright and dark optical solitons with time-dependent coefficients in a non-Kerr law media [J].
Green, Patrice D. ;
Biswas, Anjan .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (12) :3865-3873
[9]  
Harboe PN, 2003, J MICROW OPTOELECTRO, V3, P9
[10]   Optical soliton perturbation in a non-Kerr law media [J].
Kohl, Russell ;
Biswas, Anjan ;
Milovic, Daniela ;
Zerrad, Essaid .
OPTICS AND LASER TECHNOLOGY, 2008, 40 (04) :647-662