Abstract
The breathers in the cubic nonlinear Schrödinger equation areinvestigated numerically by using the symplectic method. We show thatthe solitonlike wave, the periodic, quasiperiodic and chaotic breatherscan be observed with the increase of cubic nonlinear perturbation.Finally, we discuss the breathers in the cubic-quintic nonlinearSchrödinger equation with the increase of quintic nonlinearperturbation.
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