Optical solitons for Lakshmanan-Porsezian-Daniel equation with Kerr law non-linearity using improved tan(ψ(η)/2)-expansion technique

被引:20
作者
Akram, Ghazala [1 ]
Sadaf, Maasoomah [1 ]
Dawood, Mirfa [1 ]
Baleanu, Dumitru [2 ]
机构
[1] Univ Punjab, Dept Math, Lahore 54590, Pakistan
[2] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey
关键词
Solitons; Traveling wave solutions; Kerr law non-linearity; Lakshmanan-Porsezian-Daniel equation; Improved tan(psi(eta)/2)-expansion technique; EVOLUTION-EQUATIONS; MODEL;
D O I
10.1016/j.rinp.2021.104758
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The Lakshmanan-Porsezian-Daniel (LPD) equation, with spatio-temporal dispersion as well as group velocity dispersion, is investigated to retrieve new optical solitons. Abundant bright, dark, singular, kink and periodic optical solitons solutions of the LPD equation are constructed for Kerr law of non-linearity by improved tan (psi(eta)/2) method. Some of the obtained solutions are graphically illustrated using 3D-surface plots and the 2 corresponding 2D-contour plots. The novelty of the constructed solutions is established by comparison of the obtained results with the results available in the literature for LPD equation which shows the effectiveness of the improved tan (psi(eta)/2)method.
引用
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页数:13
相关论文
共 22 条
[1]   Bright optical solitons for Lakshmanan-Porsezian-Daniel model by semi-inverse variational principle [J].
Alqahtani, Rubayyi T. ;
Babatin, M. M. ;
Biswas, Anjan .
OPTIK, 2018, 154 :109-114
[2]   Optical solitons for Lakshmanan-Porsezian-Daniel model by Riccati equation approach [J].
AlQarni, A. A. ;
Ebaid, A. ;
Alshaery, A. A. ;
Bakodah, H. O. ;
Biswas, Anjan ;
Khan, Salam ;
Ekici, Mehmet ;
Zhou, Qin ;
Moshokoa, Seithuti P. ;
Belic, Milivoj R. .
OPTIK, 2019, 182 :922-929
[3]   Infinite hierarchy of nonlinear Schrodinger equations and their solutions [J].
Ankiewicz, A. ;
Kedziora, D. J. ;
Chowdury, A. ;
Bandelow, U. ;
Akhmediev, N. .
PHYSICAL REVIEW E, 2016, 93 (01)
[4]   Optical solitons and conservation laws of Kudryashov's equation with improved modified extended tanh-function [J].
Arnous, Ahmed H. ;
Biswas, Anjan ;
Ekici, Mehmet ;
Alzahrani, Abdullah K. ;
Belic, Milivoj R. .
OPTIK, 2021, 225
[5]  
Bekir A., 2016, Int. J. Appl. Comput. Math, V2, P243, DOI [https://doi.org/10.1007/s40819-015-0058-2, DOI 10.1007/S40819-015-0058-2]
[6]   Exact solutions for nonlinear evolution equations using Exp-function method [J].
Bekir, Ahmet ;
Boz, Ahmet .
PHYSICS LETTERS A, 2008, 372 (10) :1619-1625
[7]   Optical solitons with Lakshmanan-Porsezian-Daniel model using a couple of integration schemes [J].
Biswas, Anjan ;
Ekici, Mehmet ;
Sonmezoglu, Abdullah ;
Triki, Houria ;
Majid, Fayequa B. ;
Zhou, Qin ;
Moshokoa, Seithuti P. ;
Mirzazadeh, Mohammad ;
Belic, Milivoj .
OPTIK, 2018, 158 :705-711
[8]   Optical solitons for Lakshmanan-Porsezian-Daniel model by modified simple equation method [J].
Biswas, Anjan ;
Yildirim, Yakup ;
Yasar, Emrullah ;
Zhou, Qin ;
Moshokoa, Seithuti P. ;
Belic, Milivoj .
OPTIK, 2018, 160 :24-32
[9]   Effects of fractional order time derivative on the solitary wave dynamics of the generalized ZK-Burgers equation [J].
Faraz, Naeem ;
Sadaf, Maasoomah ;
Akram, Ghazala ;
Zainab, Iqra ;
Khan, Yasir .
RESULTS IN PHYSICS, 2021, 25
[10]   Darboux transformation for an integrable generalization of the nonlinear Schrodinger equation [J].
Geng, Xianguo ;
Lv, Yanyan .
NONLINEAR DYNAMICS, 2012, 69 (04) :1621-1630