Temporal dynamics in the one-dimensional quantum Zakharov equations for plasmas

• 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.

Ämnesord

NATURVETENSKAP  -- Fysik -- Fusion, plasma och rymdfysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Fusion, Plasma and Space Physics (hsv//eng)

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