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Soliton-effect pulse compression is investigated using two approximate methods which do not include the dispersive radiation shed as the soliton evolves and by one approximate method which does. Results derived from the approximate equations are compared with full numerical solutions of the governing equation. It is found that while the methods without radiation can be used to predict the position...
We have found, numerically, that three stable pulses of different shapes can exist in systems described by the complex Ginzburg-Landau equation, such as passively mode-locked lasers with a fast saturable absorber. At the same cavity parameter values, however, only two of them can coexist, which two depending on the particular values of the parameters. The region of existence for each pulse is investigated...
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