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Travelling wave solutions to nonlinear Schrodinger equation with self-steepening and self-frequency shift

2009/11/14 by Anshul Saini, Saini, Anshul, Vivek M. Vyas +8
Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS) #Quantum optics and atomic interactions #nlin.PS

paper · pdf · doi:10.48550/arxiv.0911.2788

REVTEX 4, 8 pages, 2 figures

openalex publication_date 2009/11/14 · arxiv created 2011/05/31 · arxiv updated 2011/06/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We investigate exact travelling wave solutions of higher order nonlinear Schrodinger equation in the absence of third order dispersion, which exhibit non-trivial self phase modulation. It is shown that, the corresponding dynamical equation, governing the evolution of intensity in the femtosecond regime, is that of non-linear Schrodinger equation with a source. The exact localized solutions to this system can have both super and subluminal propagation belonging to two distinct class. 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 non-zero velocity, unlike their counterpart in nanosecond regime. Interestingly, subluminal propagation is observed for solitons having a nontrivial Pade type intensity profile.

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