# Nonlinear dispersion of stationary waves in collisionless plasmas.

@article{Dodin2011NonlinearDO, title={Nonlinear dispersion of stationary waves in collisionless plasmas.}, author={I. Y. Dodin and Nathaniel J. Fisch}, journal={Physical review letters}, year={2011}, volume={107 3}, pages={ 035005 } }

A nonlinear dispersion of a general stationary wave in collisionless plasma is obtained in a nondifferential form expressed in terms of a single-particle oscillation-center Hamiltonian. For electrostatic oscillations in nonmagnetized plasma, considered as a paradigmatic example, the linear dielectric function is generalized, and the trapped particle contribution to the wave frequency shift Δω is found analytically as a function of the wave amplitude a. Smooth distributions yield Δω ∼ a(1/2), as…

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