The stationary localized solutions in the subcritical complex Ginzburg-Landau equation are studied. It was showed that pulses in the complete quintic one-dimensional Ginzburg-Landau equation with complex coefficients appear through a saddle-node bifurcation which is determined analytically through a suitable approximation of the explicit form of the pulses. The results are in excellent agreement with direct numerical simulations.
|Original language||American English|
|Number of pages||7|
|Journal||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|State||Published - 1 Jan 2002|
- Ginzburg-Landau equation
- Localized structures
- Saddle-node bifurcation