Folded soliton with periodic vibration for a nonlinear coupled Schr&#246;dinger system

Li Bang-Qing; Ma Yu-Lan; Wang Cong; Xu Mei-Ping; Li Yang

doi:10.7498/aps.60.060203

Abstract

Introducing symmetrical expansion and nonlinear transformation, the (G'/G)-expansion method is extended to investigate a nonlinear coupled Schrödinger system. Some exact solutions with variable separation are constructed for the system. The solutions involve two arbitrary functions of independent variables. By setting properly the arbitrary functions in the solutions, two types of folded solitons with periodic vibration are observed.

Keywords:

coupled Schrödinger system /
(G'/G)-expansion method /
exact solution /
folded soliton with periodic vibration /

Authors and contacts

(1)School of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, China; (2)School of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, China; School of Mechanical Electronic and Information Engineering, China University of Mining and Technology, Beijing 100083, China; (3)School of Mechanical Electronic and Information Engineering, China University of Mining and Technology, Beijing 100083, China

References

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[14]	Fang J P, Zheng C L, Zhu J M 2005 Acta Phys. Sin. 54 2990 (in Chinese) [方建平、郑春龙、朱加民 2005 54 2990]
[15]	Ma S H, Wu X H, Fang J P, Zheng C L 2006 Z. Naturforsch. 61 a 249
[16]	Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[17]	Ma S H, Fang J P,Hong B H, Zheng C L 2008 Commun. Theor. Phys. 49 1245
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[20]	Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. 63 a 121
[21]	Li J B, Zheng C L, Ma S H 2008 Z. Naturforsch. 63 a 641
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[24]	Zhu J M, Ma Z Y, Zheng C L 2004 Acta Phys. Sin. 53 3248 (in Chinese) [朱加民、马正义、郑春龙 2004 53 3248]
[25]	Ma Z Y, Zheng C L 2006 Chin. Phys. 15 45
[26]	Ma S H, Fang J P, Ren Q B 2007 Acta Phys. Sin. 56 6784 (in Chinese) [马松华、方建平、任清褒 2007 56 6784]
[27]	Ma S H, Liu X Q 2009 Commun. Theor. Phys. 52 795
[28]	Lou S Y, Tang X Y 2006 Methods of Nonlinear Mathematical Physics (Beijing: Science Press) p120 (in Chinese) [楼森岳、唐晓艳 2006 非线性数学物理方法 (北京: 科学出版社) 第120页]
[29]	Shen S F 2006 Acta Phys. Sin. 55 1011 (in Chinese) [沈守枫 2006 55 1011]
[30]	Wang M L, Li X Z,Zhang J L 2008 Phys. Lett. A 372 417
[31]	Bekir A 2008 Phys. Lett. A 372 3400
[32]	Zhang J, Wei X L, Lu Y J 2008 Phys. Lett. A 372 3653
[33]	Li L X, Wang M L 2009 Appl. Math. Comput. 208 440
[34]	Li B Q, Ma Y L 2009 Acta Phys. Sin. 58 4373 (in Chinese) [李帮庆、马玉兰 2009 58 4373]
[35]	Ma Y L, Li B Q 2010 Appl. Math. Comput. 216 2137
[36]	Ma Y L, Li B Q, Sun J Z 2009 Acta Phys. Sin. 58 7402 (in Chinese) [马玉兰、李帮庆、孙践知 2009 58 7402]
[37]	Li B Q, Ma Y L, Xu M P 2010 Acta Phys. Sin. 59 1415 (in Chinese) [李帮庆、马玉兰、徐美萍 2010 59 1415]
[38]	Li B Q, Ma Y L 2010 Z. Naturforsch. 65 a 518
[39]	Ma Y L, Li B Q 2010 J. Math. Phys. 51 063512
[40]	Ma S H, Fang J P 2006 Acta Phys. Sin. 55 5611 (in Chinese) [马松华、方建平 2006 55 5611]
[41]	Wang M L 1995 Phys. Lett. A 199 169

Cited By

[1]	Zakharov V E, Shabat A B 1972 J. Sov. Phys. JETP 34 62
[2]	Pusharov D I, Tanev S 1996 J. Opt. Commun. 124 354
[3]	Tanev S, Pusharov D I 1997 J. Opt. Commun. 141 322
[4]	Gong L X 2006 Acta Phys. Sin. 55 4414 (in Chinese) [龚伦训 2006 55 4414]
[5]	Li J F, Shan S M, Yang J K, Jiang Z F 2007 Acta Phys. Sin. 56 5597 (in Chinese) [厉江帆、单树民、杨建坤、姜宗福 2007 56 5597]
[6]	Cheng X P, Lin J, Wang Z P 2007 Acta Phys. Sin. 56 3031 (in Chinese) [程雪苹、林机、王志平 2007 56 3031]
[7]	Lou S Y, Li Y S 2006 Chin. Phys. Lett. 23 2633
[8]	Tang X Y, Liang Z F 2006 Phys. Lett. A 351 398
[9]	Zhang S L, Lou S Y, Qu C Z 2006 Chin. Phys. 15 2765
[10]	Ma H C, Ge D J, Yu Y D 2008 Chin. Phys. B 17 1448
[11]	Ying J P, Lou S Y 2003 Chin. Phys. Lett. 20 1448
[12]	Fang J P, Zheng C L, Zhu J M 2005 Commun. Theor. Phys. 44 203
[13]	Fang J P, Zheng C L 2005 Chin. Phys. 14 670
[14]	Fang J P, Zheng C L, Zhu J M 2005 Acta Phys. Sin. 54 2990 (in Chinese) [方建平、郑春龙、朱加民 2005 54 2990]
[15]	Ma S H, Wu X H, Fang J P, Zheng C L 2006 Z. Naturforsch. 61 a 249
[16]	Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. B 17 2767
[17]	Ma S H, Fang J P,Hong B H, Zheng C L 2008 Commun. Theor. Phys. 49 1245
[18]	Huang L, Sun J A, Dou F Q, Duan W S, Liu X X 2007 Acta Phys. Sin. 56 611 (in Chinese) [黄磊、孙建安、豆福全、段文山、刘兴霞 2007 56 611]
[19]	Ma S H, Fang J P, Zheng C L 2007 Z. Naturforsch. 62 a 8
[20]	Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. 63 a 121
[21]	Li J B, Zheng C L, Ma S H 2008 Z. Naturforsch. 63 a 641
[22]	Ma S H, Wu X H, Fang J P, Zheng C L 2008 Acta Phys. Sin. 57 11 (in Chinese) [马松华、吴小红、方建平、郑春龙 2008 57 11]
[23]	Ma Z Y, Zhu J M, Zheng C L 2004 Chin. Phys. 13 1382
[24]	Zhu J M, Ma Z Y, Zheng C L 2004 Acta Phys. Sin. 53 3248 (in Chinese) [朱加民、马正义、郑春龙 2004 53 3248]
[25]	Ma Z Y, Zheng C L 2006 Chin. Phys. 15 45
[26]	Ma S H, Fang J P, Ren Q B 2007 Acta Phys. Sin. 56 6784 (in Chinese) [马松华、方建平、任清褒 2007 56 6784]
[27]	Ma S H, Liu X Q 2009 Commun. Theor. Phys. 52 795
[28]	Lou S Y, Tang X Y 2006 Methods of Nonlinear Mathematical Physics (Beijing: Science Press) p120 (in Chinese) [楼森岳、唐晓艳 2006 非线性数学物理方法 (北京: 科学出版社) 第120页]
[29]	Shen S F 2006 Acta Phys. Sin. 55 1011 (in Chinese) [沈守枫 2006 55 1011]
[30]	Wang M L, Li X Z,Zhang J L 2008 Phys. Lett. A 372 417
[31]	Bekir A 2008 Phys. Lett. A 372 3400
[32]	Zhang J, Wei X L, Lu Y J 2008 Phys. Lett. A 372 3653
[33]	Li L X, Wang M L 2009 Appl. Math. Comput. 208 440
[34]	Li B Q, Ma Y L 2009 Acta Phys. Sin. 58 4373 (in Chinese) [李帮庆、马玉兰 2009 58 4373]
[35]	Ma Y L, Li B Q 2010 Appl. Math. Comput. 216 2137
[36]	Ma Y L, Li B Q, Sun J Z 2009 Acta Phys. Sin. 58 7402 (in Chinese) [马玉兰、李帮庆、孙践知 2009 58 7402]
[37]	Li B Q, Ma Y L, Xu M P 2010 Acta Phys. Sin. 59 1415 (in Chinese) [李帮庆、马玉兰、徐美萍 2010 59 1415]
[38]	Li B Q, Ma Y L 2010 Z. Naturforsch. 65 a 518
[39]	Ma Y L, Li B Q 2010 J. Math. Phys. 51 063512
[40]	Ma S H, Fang J P 2006 Acta Phys. Sin. 55 5611 (in Chinese) [马松华、方建平 2006 55 5611]
[41]	Wang M L 1995 Phys. Lett. A 199 169

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Folded soliton with periodic vibration for a nonlinear coupled Schrödinger system

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Folded soliton with periodic vibration for a nonlinear coupled Schrödinger system

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