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 …