Dark and singular optical solitons with competing nonlocal nonlinearities

• Autorzy: Zhou Q. , Liu L. , Zhang H. , Mirzazadeh M. , Bhrawy A. H. , Zerrad E. , Moshokoa S. , Biswas A.

Identyfikatory

DOI

10.5277/oa160107

• Języki publikacji: EN

Abstrakty

EN

In this work, we study the dynamics of optical solitons in a synthetic nonlocal nonlinear media. The nonlinear dynamical model which describes the propagation of optical solitons in the weakly nonlocal nonlinear media with parabolic law nonlinearity is investigated analytically. The tool of integration that is the Riccati equation mapping approach is introduced to extract exact traveling wave solutions. As a result, an explicit dark soliton, singular soliton and periodic solutions are derived.

Słowa kluczowe

EN

solitons; parabolic law nonlinearity; competing nonlinearities

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Optica Applicata
• Rocznik: 2016
• Tom: Vol. 46, nr 1
• Strony: 79--86
• Opis fizyczny: Bibliogr. 41 poz.

Twórcy

autor

Zhou Q.

• School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, P.R. China

autor

Liu L.

• School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, P.R. China

autor

Zhang H.

• School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, P.R. China

autor

Mirzazadeh M.

• Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, 44891-63157 Rudsar-Vajargah, Iran

autor

Bhrawy A. H.

• Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah-21589, Saudi Arabia
• Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

autor

Zerrad E.

• Department of Physics and Engineering, Delaware State University, Dover, DE 19901-2277, USA

autor

Moshokoa S.

• Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa

autor

Biswas A.

• Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA

Bibliografia

• [1] MIHALACHE D., MAZILU D., LEDERER F., MALOMED B.A., KARTASHOV Y.V, CRASOVAN L.-C., TORNER L., Three-dimensional spatiotemporal optical solitons in nonlocal nonlinear media, Physical Review E 73(2), 2006, article 025601R.
• [2] MIHALACHE D., Linear and nonlinear light bullets: Recent theoretical and experimental studies, Romanian Journal of Physics 57(1–2), 2012, pp. 352–371.
• [3] NIKOLOV N.I., NESHEV D., KRÓLIKOWSKI W., OLE BANG, RASMUSSEN J.J., CHRISTIANSEN P.L., Attraction of nonlocal dark optical solitons, Optics Letters 29(3), 2004, pp. 286–288.
• [4] CHEN L., WANG Q., SHEN M., ZHAO H., LIN Y.-Y., JENG C.-C., LEE R.-K., KROLIKOWSKI W., Nonlocal dark solitons under competing cubic-quintic nonlinearities, Optics Letters 38(1), 2013, pp. 13–15.
• [5] QIN ZHOU, QIUPING ZHU, SAVESCU M., BHRAWY A., BISWAS A., Optical solitons with nonlinear dispersion in parabolic law medium, Proceedings of the Romanian Academy, Series A 16 (2), 2015, pp. 152–159.
• [6] MIHALACHE D., Multidimensional localized structures in optics and Bose–Einstein condensates: a selection of recent studies, Romanian Journal of Physics 59(3–4), 2014, pp. 295–312.
• [7] KRÓLIKOWSKI W., OLE BANG, Solitons in nonlocal nonlinear media: exact solutions, Physical Review E 63(1), 2001, article 016610.
• [8] WEI-PING ZHONG, BELIĆ M., Three-dimensional optical vortex and necklace solitons in highly nonlocal nonlinear media, Physical Review A 79(2), 2009, article 023804.
• [9] KONG Q., WANG Q., BANG O., KROLIKOWSKI W., Analytical theory for the dark-soliton interaction in nonlocal nonlinear materials with an arbitrary degree of nonlocality, Physical Review A 82(1), 2010, article 013826.
• [10] QIN ZHOU, DUANZHENG YAO, SIJING DING, YAFANG ZHANG, FENG CHEN, FANG CHEN, XIAONA LIU, Spatial optical solitons in fifth order and seventh order weakly nonlocal nonlinear media, Optik – International Journal for Light and Electron Optics 124(22), 2013, pp. 5683–5686.
• [11] XINGHUI GAO, CHENGYUN ZHANG, DONG TANG, HUI ZHENG, DAQUAN LU, WEI HU, High-order dark solitons in nonlocal nonlinear media, Journal of Modern Optics 60(15), 2013, pp. 1281–1286.
• [12] QIN ZHOU, DUANZHENG YAO, XIAONA LIU, FANG CHEN, SIJING DING, YAFANG ZHANG, FENG CHEN, Exact solitons in three-dimensional weakly nonlocal nonlinear time-modulated parabolic law media, Optics and Laser Technology 51, 2013, pp. 32–35.
• [13] QIAN KONG, MING SHEN, ZHENYI CHEN, QI WANG, RAY-KUANG LEE, KROLIKOWSKI W., Dark solitons in nonlocal media with competing nonlinearities, Physical Review A 87(6), 2013, article 063832.
• [14] MING SHEN, YUANYAO LIN, CHIEN-CHUNG JENG, RAY-KUANG LEE, Vortex pairs in nonlocal nonlinear media, Journal of Optics 14(6), 2012, article 065204.
• [15] QIN ZHOU, QIUPING ZHU, YAXIAN LIU, PING YAO, BHRAWY A.H., MORARU L., BISWAS A., Bright-dark combo optical solitons with non-local nonlinearity in parabolic law medium, Optoelectronics and Advanced Materials – Rapid Communications 8(9–10), 2014, pp. 837–839.
• [16] ESBENSEN B.K., WLOTZKA A., BACHE M., BANG O., KROLIKOWSKI W., Modulational instability and solitons in nonlocal media with competing nonlinearities, Physical Review A 84(5), 2011, article 053854.
• [17] QIN ZHOU, QIUPING ZHU, Theoretical study of dark solitons in media with competing nonlocal nonlinearities and local quintic nonlinearity, Journal of Modern Optics 61(18), 2014, pp. 1465–1469.
• [18] DING NA, GUO QI , The (1+1)-dimensional spatial solitons in media with weak nonlinear nonlocality, Chinese Physics B 18(10), 2009, pp. 4298–4302.
• [19] TSOY E.N., Solitons in weakly nonlocal media with cubic-quintic nonlinearity, Physical Review A 82(6), 2010, article 063829.
• [20] YANWEI DU, ZHONGXIANG ZHOU, HAO TIAN, DAJUN LIU, Bright solitons and repulsive in-phase interaction in media with competing nonlocal Kerr nonlinearities, Journal of Optics 13(1), 2011, article 015201.
• [21] RUI GUO, YUE-FENG LIU, HUI-QIN HAO, FENG-HUA QI, Coherently coupled solitons, breathers and rogue waves for polarized optical waves in an isotropic medium, Nonlinear Dynamics 80(3), 2015, pp. 1221–1230.
• [22] QIN ZHOU, QIUPING ZHU, BHRAWY A.H., BISWAS A., Combined optical solitons with nonlinear dispersion and spatio-temporal dispersion, Optoelectronics and Advanced Materials – Rapid Communications 9(1–2), 2015, pp. 1–4.
• [23] GANG-WEI WANG, TIAN-ZHOU XU, EBADI G., JOHNSON S., STRONG A.J., BISWAS A., Singular solitons, shock waves, and other solutions to potential KdV equation, Nonlinear Dynamics 76(2), 2014, pp. 1059–1068.
• [24] QIN ZHOU, DUANZHENG YAO, QIANQIAN XU, XIAONA LIU, Optical soliton perturbation with time- and space-dependent dissipation (or gain) and nonlinear dispersion in Kerr and non-Kerr media, Optik – International Journal for Light and Electron Optics 124(16), 2013, pp. 2368–2372.
• [25] ZHOU Q., ZHU Q., BHRAWY A.H., MORARU L., BISWAS A., Optical solitons with spatially-dependent coefficients by Lie symmetry, Optoelectronics and Advanced Materials – Rapid Communications 8(7–8), 2014, pp. 800–803.
• [26] QIN ZHOU, Analytical solutions and modulation instability analysis to the perturbed nonlinear Schrödinger equation, Journal of Modern Optics 61(6), 2014, pp. 500–503.
• [27] QIN ZHOU, QIUPING ZHU, YAXIAN LIU, BISWAS A., BHRAWY A.H., KHAN K.R., MAHMOOD M.F., BELIC M., Solitons in optical metamaterials with parabolic law nonlinearity and spatio-temporal dispersion, Journal of Optoelectronics and Advanced Materials 16(11–12), 2014, pp. 1221–1225.
• [28] MIHALACHE D., Stable vortex solitons and robust soliton complexes in optical media with competing nonlinearities, Romanian Journal of Physics 50(3–4), 2005, pp. 357–364.
• [29] MIHALACHE D., MAZILU D., Ginzburg–Landau spatiotemporal dissipative optical solitons, Romanian Reports in Physics 60(3), 2008, pp. 749–761.
• [30] SAVESCU M., ALSHAERY A.A., HILAL E.M., BHRAWY A.H., QIN ZHOU, BISWAS A., Optical solitons in DWDM system with four-wave mixing, Optoelectronics and Advanced Materials – Rapid Communications 9(1–2), 2015, pp. 14–19.
• [31] VEGA-GUZMAN J., ZHOU Q., ALSHAERY A.A., HILAL E.M., BHRAWY A.H., BISWAS A., Optical solitons in cascaded system with spatio-temporal dispersion by ansatz approach, Journal of Optoelectronics and Advanced Materials 17(1–2), 2015, pp. 165–171.
• [32] YANAN XU, QIN ZHOU, BHRAWY A.H., KHAN K.R., MAHMOOD M.F., BISWAS A., BELIC M., Bright solitons in optical metamaterials by traveling wave hypothesis, Optoelectronics and Advanced Materials – Rapid Communications 9(3–4), 2015, pp. 384–387.
• [33] QIN ZHOU, QIUPING ZHU, BISWAS A., Optical solitons in birefringent fibers with parabolic law nonlinearity, Optica Applicata 44(3), 2014, pp. 399–409.
• [34] SHUN-DONG ZHU, The generalizing Riccati equation mapping method in non-linear evolution equation: application to (2+1)-dimensional Boiti–Leon–Pempinelle equation, Chaos, Solitons and Fractals 37(5), 2008, pp. 1335–1342.
• [35] QIN ZHOU, LAN LIU, YAXIAN LIU, HUA YU, PING YAO, CHUN WEI, HUIJUAN ZHANG, Exact optical solitons in metamaterials with cubic–quintic nonlinearity and third-order dispersion, Nonlinear Dynamics 80(3), 2015, pp. 1365–1371.
• [36] VITANOV N.K., Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity, Communications in Nonlinear Science and Numerical Simulation 15(8), 2010, pp. 2050–2060.
• [37] QI WANG, YONG CHEN, HONGQING ZHANG, A new Riccati equation rational expansion method and its application to (2+1)-dimensional Burgers equation, Chaos, Solitons and Fractals 25(5), 2005, pp. 1019–1028.
• [38] LIANG-QIAN KONG, CHAO-QING DAI, Some discussions about variable separation of nonlinear models using Riccati equation expansion method, Nonlinear Dynamics 81(3), 2015, pp. 1553–1561.
• [39] QIN ZHOU, QIUPING ZHU, HUA YU, YAXIAN LIU, CHUN WEI, PING YAO, BHRAWY A.H., BISWAS A., Bright, dark and singular optical solitons in a cascaded system, Laser Physics 25(2), 2015, article 025402.
• [40] QIN ZHOU, QIUPING ZHU, YAXIAN LIU, HUA YU, PING YAO, BISWAS A., Thirring optical solitons in birefringent fibers with spatio-temporal dispersion and Kerr law nonlinearity, Laser Physics 25(1), 2015, article 015402.
• [41] BISWAS A., MIRZAZADEH M., SAVESCU M., MILOVIC D., KHAN K.R., MAHMOOD M.F., BELIC M., Singular solitons in optical metamaterials by ansatz method and simplest equation approach, Journal of Modern Optics 61(19), 2014, pp. 1550–1555.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.