Abstract
This paper obtains new exact bright and singular optical soliton solutions in nonlinear negative-index materials with conformable time fractional derivatives in the presence of a Bohm potential. The inclusion of a Bohm potential produces quantum phase behavior in electromagnetic waves. The integration algorithm used is the \(\exp (-\varphi ({\chi })\)) method. Singular periodic, combined hyperbolic and explicit solutions fall out during the derivation. The constraint conditions for the existence of these solutions also emerge as a byproduct of this scheme.
Similar content being viewed by others
Change history
24 April 2019
In the original publication, Eqs. (13) and (25) have been published incorrectly.
References
J H Lee, C K Lin and O K Pashaev Chaos Solitons and Fractals 19 109 (2004)
A H Bhrawy et al. Proc. Rom. Acad. Ser. A 15 235 (2014)
A Biswas and D Milovic Commun. Nonlinear Sci. Numer. Simul. 14 1993 (2009)
A Biswas, M Mirzazadeh, M Eslami, D Milovic and M Belic Frequenz 68 525 (2014)
N Cheemaa and M Younis Waves Random Complex Media 26 30 (2016)
N Cheemaa and M Younis Nonlinear Dyn. 83 1395 (2016)
G P Agarwal Nonlinear Fiber Optics (New York : Academic) (2001)
A Biswas, K R Khan, M F Mahmood and M Belic Optik 125 3299 (2014)
A Biswas et al. J. Mod. Opt. 61 1550 (2014)
A Biswas, M Z Ullah, M Asma, Q Zhou, S P Moshokoa and M Belic Optik 139 16 (2017)
M Kaplan Opt. Quant. Electron. 49 312 (2017)
M Kaplan, A Bekir and M N Ozer Opt. Quant. Electron. 49 266 (2017)
M Ekici, M Mirzazadeh and M Eslami Nonlinear Dyn. 84 669 (2016)
E V Krishnan et al. J. Optoelectron. Adv. Mater. 17 511 (2015)
M Eslami, M Mirzazadeh and A Biswas J. Modern Opt. 60 1627 (2013)
M Mirzazadeh, A H Arnous, M F Mahmood, E Zerrad and A Biswas Nonlinear Dyn. 81 277 (2015)
A Sonmezoglu, M Yao, M Ekici, M Mirzazadeh and Q Zhou Nonlinear Dyn. 88 595 (2017)
H Triki, A Biswas, S P Moshokoa and M Belic Optik 128 63 (2017)
J Zhang, Y Li, Z Tian and J Xiao Optik 130 1259 (2017)
J C Zhao and Y Z Cheng Optik 136 52 (2017)
N Raza, M Abdullah and A R Butt Optik 157 993 (2018)
N Raza, S Sial and M Kaplan Optik 156 628 (2018)
M Kaplan, A Akbulut and A Bekir Commun. Theor. Phys. 65 563 (2016)
A Akbulut, M Kaplan and F Tascan Optik 132 382 (2017)
M Ekici, M Mirzazadeh, M Eslami, Q Zhou, S P Moshokoa, A Biswas and M Belic Optik 127 10659 (2016)
H Moosaei, M Mirzazadeh and A Yildirim Nonlinear Anal. Model. Contr. 16 332 (2011)
A Biswas, M Mirzazadeh, M Savescu, D Milovic, K R Khan, M F Mahmood and M Belic J. Modern Opt. 61 1550 (2014)
M Younis and S Ali Appl. Math. 5 969 (2014)
T Abdeljawad J. Comput. Appl. Math. 279 57 (2015)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Raza, N. New optical solitons in nonlinear negative-index materials with Bohm potential. Indian J Phys 93, 657–663 (2019). https://doi.org/10.1007/s12648-018-1234-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-018-1234-0