Traveling-waves and solitons in a generalized time-variable coefficients nonlinear Schrödinger equation with higher-order terms

2013 ◽  
Vol 377 (3-4) ◽  
pp. 167-175 ◽  
Author(s):  
Emmanuel Yomba
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Traveling Waves ◽  
Schrodinger Equation ◽  
Variable Coefficients ◽  
Higher Order ◽  
Nonlinear Schrodinger Equation ◽  
Time Variable ◽  
Higher Order Terms ◽  
Generalized Time

OPTICAL QUASI-SOLITON SOLUTIONS FOR THE CUBIC-QUINTIC NONLINEAR SCHRÖDINGER EQUATION WITH VARIABLE COEFFICIENTS

2005 ◽  
Vol 19 (31) ◽  
pp. 4629-4636 ◽  
Author(s):  
QIN YANG ◽  
JIE-FANG ZHANG
Keyword(s):  
Schrödinger Equation ◽  
Absorption Coefficient ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Variable Coefficients ◽  
Higher Order ◽  
Nonlinear Schrodinger Equation ◽  
Combined Effects ◽  
Quintic Nonlinear Schrödinger Equation

Optical quasi-soliton solutions for the cubic-quintic nonlinear Schrödinger equation (CQNLSE) with variable coefficients are considered. Based on the extended tanh-function method, we not only successfully obtained bright and dark quasi-soliton solutions, but also obtained the kink quasi-soliton solutions under certain parametric conditions. We conclude that the quasi-solitons induced by the combined effects of the group velocity dispersion (GVD) distribution, the nonlinearity distribution, higher-order nonlinearity distribution, and the amplification or absorption coefficient are quite different from those of the solitons induced only by the combined effects of the GVD, the nonlinearity distribution, and the amplification or absorption coefficient without considering the higher-order nonlinearity distribution (i.e. α(z)=0). Furthermore, we choose appropriate optical fiber parameters D(z) and R(z) to control the velocity of quasi-soliton and time shift, and discuss the evolution behavior of the special quasi-soliton.

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