RT Journal Article
SR 00
A1 Elaskar, Sergio
A1 Sanmartín Losada, Juan Ramón
T1 Reduced three-wave model to study the hard transition to chaotic dynamics in Alfven wave-fronts
JF Mecánica computacional
YR 2004
FD 2004
VO XXIII
SP 2461
OP 2476
AB The derivative nonlinear Schrödinger (DNLS) equation, describing propagation of circularly polarized Alfven waves of finite amplitude in a cold plasma, is truncated to explore the coherent, weakly nonlinear, cubic coupling of three waves near resonance, one wave being linearly unstable and the other waves damped. In a reduced three-wave model (equal damping of daughter waves, three-dimensional flow for two wave amplitudes and one relative phase), no matter how small the growth rate of the unstable wave there exists a parametric domain with the flow exhibiting chaotic dynamics that is absent for zero growth-rate. This hard transition in phase-space behavior occurs for left-hand (LH) polarized waves, paralelling the known fact that only LH time-harmonic solutions of the DNLS equation are modulationally unstable.
PB Asociación Argentania de Mecánica Computacional
SN 1666-6070
LK http://oa.upm.es/21671/