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Z. Naturforsch. 67a, 338 – 346 (2012)
doi:10.5560/ZNA.2012-0033
Tunnelling Effects of Solitons in Optical Fibers with Higher-Order Effects
Chao-Qing Dai1,2, Hai-Ping Zhu3, and Chun-Long Zheng4
1 School of Sciences, Zhejiang A&F University, Lin'an, Zhejiang, 311300, China
2 School of Physical Science and Technology, Suzhou University, Suzhou, Jiangsu, 215006, China
3 School of Science, Zhejiang Lishui University, Lishui, Zhejiang, 323000, China
4 College of Physics and Electromechanical Engineering, Shaoguan University, Guangdong 512005, China
Received October 18, 2011 / revised January 10, 2012 / published online July 3, 2012
Reprint requests to: C.-Q. D.; E-mail: dcq424@126.com
We construct four types of analytical soliton solutions for the higher-order nonlinear Schrödinger equation with distributed coefficients. These solutions include bright solitons, dark solitons, combined solitons, and M-shaped solitons. Moreover, the explicit functions which describe the evolution of the width, peak, and phase are discussed exactly. We finally discuss the nonlinear soliton tunnelling effect for four types of femtosecond solitons.
Key words: Nonlinear Schrödinger Equation; Higher-Order Effect; Soliton Solutions; Tunnelling Effect.
PACS numbers: 05.45.Yv; 42.65.Tg
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