Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2009-11-14
Nonlinear Sciences
Pattern Formation and Solitons
REVTEX 4, 8 pages, 2 figures
Scientific paper
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.
Pandey S. N.
Panigrahi Prasanta K.
Raju Solomon T.
Saini Anshul
Vyas Vivek M.
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