Temporal dynamics in the one-dimensional quantum Zakharov equations for plasmas
2010 (English)In: Physics of Plasmas, ISSN 1070-664X, E-ISSN 1089-7674, Vol. 17, no 3, 032307Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2010. Vol. 17, no 3, 032307
Fusion, Plasma and Space Physics
IdentifiersURN: urn:nbn:se:umu:diva-109640DOI: 10.1063/1.3356059ISI: 000276210100022OAI: oai:DiVA.org:umu-109640DiVA: diva2:858432