Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift

2022 ◽  
pp. 106240
Author(s):  
Emmanuel Kengne ◽  
WuMing Liu
Keyword(s):  
Schrödinger Equation ◽  
Frequency Shift ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Modulational Instability ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Modulated Waves

Modulational Instability of the Higher-Order Nonlinear Schrödinger Equation with Fourth-Order Dispersion and Quintic Nonlinear Terms

2006 ◽  
Vol 61 (5-6) ◽  
pp. 225-234 ◽  
Author(s):  
Woo-Pyo Hong
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Fourth Order ◽  
Schrodinger Equation ◽  
Modulational Instability ◽  
Higher Order ◽  
Nonlinear Schrodinger Equation ◽  
Normal Dispersion ◽  
Nonlinear Schrödinger ◽  
Order Dispersion

The modulational instability of the higher-order nonlinear Schrödinger equation with fourth-order dispersion and quintic nonlinear terms, describing the propagation of extremely short pulses, is investigated. Several types of gains by modulational instability are shown to exist in both the anomalous and normal dispersion regimes depending on the sign and strength of the higher-order nonlinear terms. The evolution of the modulational instability in both the anomalous and normal dispersion regimes is numerically investigated and the effects of the higher-order dispersion and nonlinear terms on the formation and evolution of the solitons induced by modulational instability are studied. - PACS numbers: 42.65.Tg, 42.81Dp, 42.65Sf

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