中国物理B ›› 2009, Vol. 18 ›› Issue (7): 2822-2827.doi: 10.1088/1674-1056/18/7/033

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Gaussian solitons in nonlocal media: variational analysis

申明, 西宁, 孔茜, 葛丽娟, 施解龙, 王奇   

  1. Department of Physics, Shanghai University, Shanghai 200444, China
  • 收稿日期:2008-09-03 修回日期:2009-02-20 出版日期:2009-07-20 发布日期:2009-07-20
  • 基金资助:
    Project supported in part by the National Natural Science Foundation of China (Grant Nos 60808002 and 60677030), and the Shanghai Leading Academic Discipline Program (Grant No S30105). Shen Ming is also supported by the Australian Endeavor Research Fellowship scholarship, and appreciates the hospitality of the Laser Physics Center during his stay in Canberra.

Gaussian solitons in nonlocal media: variational analysis

Shen Ming(申明)†, Xi Ning(西宁), Kong Qian(孔茜), Ge Li-Juan(葛丽娟), Shi Jie-Long(施解龙), and Wang Qi(王奇)   

  1. Department of Physics, Shanghai University, Shanghai 200444, China
  • Received:2008-09-03 Revised:2009-02-20 Online:2009-07-20 Published:2009-07-20
  • Supported by:
    Project supported in part by the National Natural Science Foundation of China (Grant Nos 60808002 and 60677030), and the Shanghai Leading Academic Discipline Program (Grant No S30105). Shen Ming is also supported by the Australian Endeavor Research Fellowship scholarship, and appreciates the hospitality of the Laser Physics Center during his stay in Canberra.

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摘要： Exact solutions of Gaussian solitons in nonlinear media with a Gaussian nonlocal response are obtained. Using the variational approach, we obtain the approximate solutions of such solitons when the degree of the nonlocality is arbitrary. Specifically, we study the conditions for Gaussian solitons that propagate in weakly and highly nonlocal media. We also compare the variational result with the known exact solutions for weakly and highly nonlocal media.

Abstract: Exact solutions of Gaussian solitons in nonlinear media with a Gaussian nonlocal response are obtained. Using the variational approach, we obtain the approximate solutions of such solitons when the degree of the nonlocality is arbitrary. Specifically, we study the conditions for Gaussian solitons that propagate in weakly and highly nonlocal media. We also compare the variational result with the known exact solutions for weakly and highly nonlocal media.

Key words: Gaussian solitons, nonlocal nonlinearity

中图分类号:  (Optical solitons; nonlinear guided waves)

  • 42.65.Tg