Nonlinear Waves and Coherent Structures in the Quantum Single-Wave Model

Details Nonlinear Waves and Coherent Structures in the Quantum Single-Wave Model Nonlinear Waves and Coherent Structures in the Quantum Single-Wave Model

2011-05-14

arxiv.org/abs/1105.2886v1

Phys. Plasmas 18, 102312 (2011)

Physics

Plasma Physics

10 pages, 9 figures

Scientific paper

10.1063/1.3651190

Starting from the von Neumann-Maxwell equations for the Wigner quasi-probability distribution and for the self-consistent electric field, the quantum analog of the classical single-wave model has been derived. The linear stability of the quantum single-wave model has been studied, and periodic in time patterns have been found both analytically and numerically. In addition, some features of quantum chaos have been detected in the unstable region in parameter space. Further, a class of standing-wave solutions of the quantum single-wave model has also been found, which have been observed to behave as stable solitary-wave structures. The analytical results have been finally compared to the exact system dynamics obtained by solving the corresponding equations in Schrodinger representation numerically.

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