Combined Solitary Wave Solutions in Higher-order Effects Optical Fibers

2016 ◽  
Vol 13 (3) ◽  
pp. 1-12
Author(s):  
J. Bogning ◽  
C. Tchaho ◽  
H. Omanda
Keyword(s):  
Solitary Wave ◽  
Optical Fibers ◽  
Higher Order ◽  
Order Effects ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Higher Order Effects

scholarly journals New Solitary-wave Solutions for the Higher Order Nonlinear Schrödinger Equation with Both Real and Imaginary Raman Terms

2003 ◽  
Vol 58 (12) ◽  
pp. 667-671 ◽  
Author(s):  
Woo-Pyo Hong
Keyword(s):  
Solitary Wave ◽  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Optical Fibers ◽  
Schrodinger Equation ◽  
Higher Order ◽  
Nonlinear Schrodinger Equation ◽  
Solitary Wave Solutions ◽  
Nonlinear Schrödinger ◽  
Wave Solutions

We find new solitary-wave solutions of the higher order nonlinear Schrödinger equation with both real and imaginary Raman terms, which can model an ultrashort pulse propagation through optical fibers, under some constraint among the model coefficients. The physical conditions such as the wavelength needed to launch the pulse, the types of optical fibers, and the required peak power, are obtained from the constraints for the solitary-wave solutions. - PACS number(s): 42.65.Tg, 42.81Dp, 02.30.Jr, 42.79.Sz.

Solitary wave pulses in optical fibers with normal dispersion and higher-order effects

2009 ◽  
Vol 79 (6) ◽  
Author(s):  
Wen-Jun Liu ◽  
Bo Tian ◽  
Hai-Qiang Zhang ◽  
Tao Xu ◽  
He Li
Keyword(s):  
Solitary Wave ◽  
Optical Fibers ◽  
Higher Order ◽  
Order Effects ◽  
Normal Dispersion ◽  
Higher Order Effects

Tunnelling Effects of Solitons in Optical Fibers with Higher-Order Effects

2012 ◽  
Vol 67 (6-7) ◽  
pp. 338-346
Author(s):  
Chao-Qing Dai ◽  
Hai-Ping Zhu ◽  
Chun-Long Zheng
Keyword(s):  
Optical Fibers ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Higher Order ◽  
Order Effects ◽  
Bright Solitons ◽  
Dark Solitons ◽  
Tunnelling Effect ◽  
Tunnelling Effects ◽  
Higher Order Effects

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

Solitary wave solutions to higher-order traffic flow model with large diffusion

2014 ◽  
Vol 35 (2) ◽  
pp. 167-176
Author(s):  
Xiao-xia Jian ◽  
Peng Zhang ◽  
S. C. Wong ◽  
Dian-liang Qiao ◽  
Kee-choo Choi
Keyword(s):  
Solitary Wave ◽  
Traffic Flow ◽  
Flow Model ◽  
Higher Order ◽  
Solitary Wave Solutions ◽  
Traffic Flow Model ◽  
Wave Solutions ◽  
Large Diffusion
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