Chaotic and turbulent behavior of unstable one-dimensional nonlinear dispersive waves

@inproceedings{Caia2000ChaoticAT,
title={Chaotic and turbulent behavior of unstable one-dimensional nonlinear dispersive waves},
author={David Caia and D. W. McLaughlin},
year={2000}
}

In this article we use one-dimensional nonlinear Schro ̈dinger equations~NLS! to illustrate chaotic and turbulent behavior of nonlinear dispersive waves. It begins with a brief summary of properties of NLS with focusing and defocusing nonlinearities. In this summary we stress the role of the modulational instability in the formation of solitary waves and homoclinic orbits, and in the generation of temporal chaos and of spatiotemporal chaos for the nonlinear waves. Dispersive wave turbulence for… CONTINUE READING