scholarly journals Higher-Order Nonlinear Schrödinger Equation Family in Optical Fiber and Solitary Wave Solutions

2018 ◽  
Vol 6 (3) ◽  
pp. 31 ◽  
Author(s):  
Rodrique Njikue
2000 ◽  
Vol 55 (3-4) ◽  
pp. 397-400 ◽  
Author(s):  
Woo-pyo Hong

By means of the coupled amplitude-phase method we find analytical dark solitary wave solutions for the higher order nonlinear Schrödinger equation with cubic-quintic terms describing the effects of quintic nonlinearity on the ultra-short (femtosecond) optical soliton propagation in non-Kerr media. The dark solitary wave solution exists even for the coefficients of quintic terms much larger than those of cubic terms.


2003 ◽  
Vol 58 (12) ◽  
pp. 667-671 ◽  
Author(s):  
Woo-Pyo Hong

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.


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