Analytical study of solitons in non-Kerr nonlinear negative-index materials
Tóm tắt
We study the dynamics of optical solitons in negative-index materials with non-Kerr nonlinearity and third-order dispersion. Three types of non-Kerr law nonlinearities are considered. They are power law, parabolic law and dual-power law. With the help of the extended trial equation method, various families of solitons including bright, dark and singular solitons are derived. The presented results could provide a method and technique in ultra-short optical soliton control in various kinds of non-Kerr law nonlinear negative-index materials.
Tài liệu tham khảo
Zhou, Q., Liu, L., Liu, Y., Yu, H., Yao, P., Wei, C., Zhang, H.: Exact optical solitons in metamaterials with cubic-quintic nonlinearity and third-order dispersion. Nonlinear Dyn. 80(3), 1365–1371 (2015)
Biswas, A., Khan, K.R., Mahmood, M.F.: Bright and dark solitons in optical metamaterials. Optik 125(3), 3299–3302 (2014)
Xu, Y., Savescu, M., Khan, K.R., Mahmood, M.F., Biswas, A., Belic, M.: Soliton propagation through nanoscale waveguides in optical metamaterials. Opt. Laser Technol. 77, 177–186 (2016)
Saha, M., Sarma, A.K.: Modulation instability in nonlinear metamaterials induced by cubic-quintic nonlinearities and higher order dispersive effects. Opt. Commun. 291, 321–325 (2013)
Yang, R., Zhang, Y.: Exact combined solitary wave solutions in nonlinear metamaterials. J. Opt. Soc. Am. B 28(1), 123–127 (2011)
Liu, C.: Representations and classification of traveling wave solutions to sinh-Gordon equation. Commun. Theor. Phys. 49(1), 153 (2008)
Liu, C.: Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations. Comput. Phys. Commun. 181(2), 317–324 (2010)
Ekici, M., Mirzazadeh, M., Eslami, M.: Solitons and other solutions to Boussinesq equation with power law nonlinearity and dual dispersion. Nonlinear Dyn. 84(2), 669–676 (2016)
Zhou, Q., Ekici, M., Sonmezoglu, A., Mirzazadeh, M., Eslami, M.: Optical solitons with Biswas-Milovic equation by extended trial equation method. Nonlinear Dyn. 84(4), 1883–1900 (2016)
Pandir, Y., Gurefe, Y., Kadak, U., Misirli, E.: Classification of exact solutions for some nonlinear partial differential equations with generalized evolution. Abstr. Appl. Anal. 2012 (2012). Article ID 478531, 16 pages
Kumar, S., Zhou, Q., Bhrawy, A.H., Zerrad, E., Biswas, A., Belic, M.: Optical solitons in birefringent fibers by Lie symmetry analysis. Rom. Rep. Phys. 68(1), 341–352 (2016)
Abdelkawy, M.A., Bhrawy, A.H., Zerrad, E., Biswas, A.: Application of tanh method to complex coupled nonlinear evolution equations. Acta Phys. Pol. A 129(3), 278–283 (2016)
Zhou, Q., Zhong, Y., Mirzazadeh, M., Bhrawy, A.H., Zerrad, E., Biswas, A.: Thirring combo solitons with cubic nonlinearity and spatio-temporal dispersion. Waves Random Complex Media 26(2), 204–210 (2016)
Zhou, Q., Liu, L., Zhang, H., Mirzazadeh, M., Bhrawy, A.H., Zerrad, E., Moshokoa, S., Biswas, A.: Dark and singular optical solitons with competing nonlocal nonlinearities. Optica Appl. 46(1), 79–86 (2016)
Bhrawy, A.H., Alzaidy, J.F., Abdelkawy, M.A., Biswas, A.: Jacobi spectral collocation approximation for multi-dimensional time-fractional Schrödinger equations. Nonlinear Dyn. 84(3), 1553–1567 (2016)
Bhrawy, A.H., Abdelkawy, M.A.: A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations. J. Comput. Phys. 294, 462–483 (2015)