Journal
PHYSICS OF PLASMAS
Volume 17, Issue 3, Pages -Publisher
AIP Publishing
DOI: 10.1063/1.3356059
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Funding
- UmeA University
- Kempe Foundation
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The temporal dynamics of the quantum Zakharov equations in one spatial dimension, which describes the nonlinear interaction of quantum Langmuir waves and quantum ion-acoustic waves, is revisited by considering their solution as a superposition of three interacting wave modes in Fourier space. Previous results in the literature are modified and rectified. Periodic, chaotic, and hyperchaotic behaviors of the Fourier-mode amplitudes are identified by the analysis of Lyapunov exponent spectra and the power spectrum. The periodic route to chaos is explained through a one-parameter bifurcation analysis. The system is shown to be destabilized via a supercritical Hopf-bifurcation. The adiabatic limits of the fully spatiotemporal and reduced systems are compared from the viewpoint of integrability properties. (C) 2010 American Institute of Physics. [doi:10.1063/1.3356059]
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