Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (1): 10507-010507.doi: 10.1088/1674-1056/22/1/010507

• GENERAL • 上一篇    下一篇

Nonautonomous solitons in the continuous wave background of the variable-coefficient higher-order nonlinear Schrödinger equation

戴朝卿, 陈未路   

  1. School of Sciences, Zhejiang Agricultural and Forestry University, Lin'an 311300, China
  • 收稿日期:2012-03-05 修回日期:2012-08-05 出版日期:2012-12-01 发布日期:2012-12-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11005092) and the Program for Innovative Research Team of Young Teachers of Zhejiang Agricultural and Forestry University, China (Grant No. 2009RC01).

Nonautonomous solitons in the continuous wave background of the variable-coefficient higher-order nonlinear Schrödinger equation

Dai Chao-Qing (戴朝卿), Chen Wei-Lu (陈未路)   

  1. School of Sciences, Zhejiang Agricultural and Forestry University, Lin'an 311300, China
  • Received:2012-03-05 Revised:2012-08-05 Online:2012-12-01 Published:2012-12-01
  • Contact: Dai Chao-Qing E-mail:dcq424@126.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11005092) and the Program for Innovative Research Team of Young Teachers of Zhejiang Agricultural and Forestry University, China (Grant No. 2009RC01).

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摘要： We reduce the variable-coefficient higher-order nonlinear Schrödinger equation (VCHNLSE) into constant-coefficient (CC) one. Based on the reduction transformation and solutions of CCHNLSE, we obtain analytical soliton solutions embedded in the continuous wave background for the VCHNLSE. Then the excitation in advance and sustainment of soliton arrays, and postponed disappearance and sustainment of the bright soliton embedded in the background are discussed in an exponential system.

关键词: higher-order nonlinear Schrö, dinger equation, soliton solution, continuous wave background, postponed disappearance and sustainment of soliton

Abstract: We reduce the variable-coefficient higher-order nonlinear Schrödinger equation (VCHNLSE) into constant-coefficient (CC) one. Based on the reduction transformation and solutions of CCHNLSE, we obtain analytical soliton solutions embedded in the continuous wave background for the VCHNLSE. Then the excitation in advance and sustainment of soliton arrays, and postponed disappearance and sustainment of the bright soliton embedded in the background are discussed in an exponential system.

Key words: higher-order nonlinear Schrödinger equation, soliton solution, continuous wave background, postponed disappearance and sustainment of soliton

中图分类号:  (Solitons)

  • 05.45.Yv
42.65.Tg (Optical solitons; nonlinear guided waves)