Oscillating solitons in nonlinear optics

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• 作者：XIAO-GANG LIN ; WEN-JUN LIU ; MING LEI
• 关键词：Solitons ; nonlinear optics ; analytic soliton solutions ; Hirota’s bilinear method.
• 刊名：Pramana
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：86
• 期：3
• 页码：575-580
• 全文大小：456 KB
• 参考文献：[1]S K Turitsyn, B G Bale and M P Fedoruk, Phys. Rep. 521, 135 (2012)
  [2]E Infeld, Nonlinear waves, solitons and chaos, 2nd edn (Cambridge University Press, Cambridge, UK, 2000)
  [3]P K Shukla and A A Mamun, New J. Phys. 5, 17.1 (2003)
  [4]Y Kodama, J. Phys. A 43, 434004 (2010)
  [5]R Yang, R Hao, L Li, Z Li and G Zhou, Opt. Commun. 242, 285 (2004)
  [6]S Burger, K Bongs, S Dettmer, W Ertmer, K Sengstock, A Sanpera, G V Shlyapnikov and M Lewenstein, Phys. Rev. Lett. 83, 5198 (1999)
  [7]L Khaykovich, F Schreck, G Ferrari, T Bourdel, J Cubizolles, L D Carr, Y Castin and C Salomon, Science 296, 1290 (2002)
  [8]K E Strecker, G B Partridge, A G Truscott and R G Hulet, Nature 417, 150 (2002)
  [9]E R Arriola, W Broniowski and B Golli, Phys. Rev. D 76, 014008 (2007)
  [10]H Triki, F Azzouzi and P Grelu, Opt. Commun. 309, 71 (2013)
  [11]R Guo, H Q Hao and L L Zhang, Nonlinear Dynam. 74, 701 (2013)
  [12]R Guo and H Q Hao, Commun. Nonlinear Sci. Numer. Simulat. 18, 2426 (2013)
  [13]C Q Dai and H P Zhu, J. Opt. Soc. Am. B 30, 3291 (2013)
  [14]C Q Dai and H P Zhu, Ann. Phys. (NY) 341, 142 (2014)
  [15]B Tang, D J Li and Y Tang, Can. J. Phys. 91, 788 (2013)
  [16]J D Moores, Opt. Lett. 21, 555 (1996)
  [17]V N Serkin and A Hasegawa, IEEE J. Sel. Top. Quant. Electron. 8, 418 (2002)
  [18]V I Kruglov, A C Peacock and J D Harvey, Phys. Rev. Lett. 90, 113902 (2003)
  [19]T S Raju, P K Panigrahi and K Porsezian, Phys. Rev. E 71, 026608 (2005)
  [20]R Atre, P K Panigrahi and G S Agarwal, Phys. Rev. E 73, 056611 (2006)
  [21]G P Agrawal, Nonlinear fiber optics, 4th edn (Academic Press, San Diego, 2007)
  [22]Z G Chen, M Segev and D N Christodoulides, Rep. Prog. Phys. 75, 086401 (2012)
  [23]M Saha and A K Sarma, Commun. Nonlinear Sci. Numer. Simulat. 18, 2420 (2013)
  [24]H Triki and T R Taha, Math. Comput. Simulat. 82, 1333 (2012)
  [25]A I Maimistov, Quant. Electron. 40, 756 (2010)
  [26]M Gazeau, J. Opt. Soc. Am. B 30, 2443 (2013)
  [27]A Choudhuri and K Porsezian, Phys. Rev. A 88, 033808 (2013)
  [28]R Radha, P S Vinayagam and K Porsezian, Phys. Rev. E 88, 032903 (2013)
  [29]R Carretero-González, D J Frantzeskakis and P G Kevrekidis, Nonlinearity 21, R139 (2008)
  [30]Z J Li, W H Hai and Y Deng, Chin. Phys. B 22, 090505 (2013)
  [31]D S Wang, Y R Shi, K W Chow, Z X Yu and X G Li, Eur. Phys. J. D 67, 242 (2013)
  [32]Q Y Li, Z D Li, L Li and G S Fu, Opt. Commun. 283, 3361 (2010)
  [33]C Becker, K Sengstock, P Schmelcher, P G Kevrekidis, R Carretero-González, New J. Phys. 15, 113028 (2013)
  [34]T Kanna, R B Mareeswaran, F Tsitoura, H E Nistazakis and D J Frantzeskakis, J. Phys. A 46, 475201 (2013)
  [35]W J Liu, B Tian, H Q Zhang, T Xu and H Li, Phys. Rev. A 79, 063810 (2009)
  [36]W J Liu, B Tian, H Q Zhang, L L Li and Y S Xue, Phys. Rev. E 77, 066605 (2008)
  [37]W J Liu, B Tian and H Q Zhang, Phys. Rev. E 78, 066613 (2008)
  [38]W J Liu, B Tian, T Xu, K Sun and Y Jiang, Ann. Phys. (NY) 325, 1633 (2010)
  [39]R Hirota, Phys. Rev. Lett. 27, 1192 (1971)
  
• 作者单位：XIAO-GANG LIN (1)
  WEN-JUN LIU (2)
  MING LEI (2)
  
  1. Key Laboratory of Optoelectronic Technology & Systems (Chongqing University), Ministry of Education, Chongqing, China
  2. School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing, 100876, China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Astronomy
  Astrophysics
  
• 出版者：Springer India
• ISSN：0973-7111

文摘

Oscillating solitons are obtained in nonlinear optics. Analytical study of the variable-coefficient nonlinear Schrödinger equation, which is used to describe the soliton propagation in those systems, is carried out using the Hirota’s bilinear method. The bilinear forms and analytic soliton solutions are derived, and the relevant properties and features of oscillating solitons are illustrated. Oscillating solitons are controlled by the reciprocal of the group velocity and Kerr nonlinearity. Results of this paper will be valuable to the study of dispersion-managed optical communication system and mode-locked fibre lasers.