Nonlinear Schrödinger-Equation Model of The Oscillating Two-Stream Instability.

1974 ◽  
Vol 32 (12) ◽  
pp. 696-696
Author(s):  
G. J. Morales ◽  
Y. C. Lee ◽  
R. B. White
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Equation Model ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Stream Instability

Super and subluminal propagation in nonlinear Schrödinger equation model with self-steepening and self-frequency shift

2015 ◽  
Vol 24 (03) ◽  
pp. 1550033 ◽  
Author(s):  
A. Saini ◽  
V. M. Vyas ◽  
Thokala Soloman Raju ◽  
S. N. Pandey ◽  
Prasanta K. Panigrahi
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Group Velocity Dispersion ◽  
Experimental Parameter ◽  
Traveling Wave Solutions ◽  
Equation Model ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Dark Solitons

We investigate exact traveling wave solutions of higher order nonlinear Schrödinger equation (NLSE) in the absence of third-order dispersion, which exhibit nontrivial self-phase modulation. It is shown that the corresponding dynamical equation, governing the evolution of intensity in the femtosecond regime, is that of NLSE with a source. The exact localized solutions to this system can have both super and subluminal propagation belonging to two distinct classes. A number of these solitons exhibit chirality, thereby showing preferential propagation behavior determined by group velocity dispersion. Both localized bright and dark solitons are found in complementary velocity and experimental parameter domains, which can exist for anomalous and normal dispersion regimes. It is found that dark solitons in this system propagate with nonzero velocity, unlike their counterpart in nanosecond regime. Interestingly, subluminal propagation is observed for solitons having a nontrivial Padé type intensity profile.

New Analytical Solutions to the Nonlinear Schrödinger Equation Model

2005 ◽  
Vol 60 (11-12) ◽  
pp. 775-782 ◽  
Author(s):  
Yuanyuan Zhang ◽  
Ying Zheng ◽  
Hongqing Zhang
Keyword(s):  
Schrödinger Equation ◽  
Exact Solutions ◽  
Nonlinear Schrödinger Equation ◽  
Analytical Solutions ◽  
Schrodinger Equation ◽  
Equation Model ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
New Exact Solutions

In this paper, new analytical solutions of the nonlinear Schrödinger equation model are obtained. The properties of the new exact solutions are shown by some figures.

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