SPATIOTEMPORAL CHAOS IN THE REGIME OF THE CONSERVED ZAKHAROV EQUATIONS

It is first shown from the modulation instability of the conserved Zakharov equations that regular soliton patterns with a periodic sequence in space and time, and spatiotemporal chaos with irregular localized patterns, are formed in the different regions of the unstable wave numbers. The route from quasiperiodic to the coexistence of quasiperiodic and subharmonic, then from quasiperiodic and subharmonic to subharmonic, and furthermore to spatiotemporal chaos evolving from regular spatial patterns, is found. The formation mechanism of irregularly localized patterns is also revealed. © 1994 The American Physical Society.