HR: 0800h
AN: NG21B-0520 [Abstracts]
TI: Integrable, Nonlinear Travelling Waves and Whistler Oscillitons in Two-Fluid, Electron-Proton Plasmas
AU: * Webb, G M
EM: gmwebb@ucr.edu
AF: Institute of Geophysics and Planetary Physics, University of California Riverside, 900
University Ave., Riverside, CA 92521, United States
AU: Ko, C M
EM: cmko@astro.ncu.edu.tw
AF: Department of Physics, Institute of Astronomy and Center for Complex Systems, National
Central University, 300 Jung-da Rd., Tauyuan 320, Chung-Li, 32054, Taiwan
AU: Mace, R L
EM: macer@ukzn.ac.za
AF: School of Physics, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban, 4000, South Africa
AU: McKenzie, J F
EM: mckenziej@ukzn.ac.za
AF: Institute of Geophysics and Planetary Physics, University of California Riverside, 900
University Ave., Riverside, CA 92521, United States
AU: McKenzie, J F
EM: mckenziej@ukzn.ac.za
AF: School of Physics, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban, 4000, South Africa
AU: Zank, G P
EM: zank@ucr.edu
AF: Institute of Geophysics and Planetary Physics, University of California Riverside, 900
University Ave., Riverside, CA 92521, United States
AB:
A Hamiltonian formulation of oblique travelling waves in a two-fluid, charge-neutral, electron-proton plasma
shows that the transverse electron and proton momentum equations are exactly integrable if the total transverse
momentum flux integrals in the de-Hoffman Teller frame are zero. The integrable travelling waves are investigated
by using the Hamiltonian trajectories in phase-space, and by using the structure equation for the common,
longitudinal fluid velocity
component of the electron and proton fluids. Numerical examples of travelling waves in a cold plasma, including
oscillitons are used to illustrate the physics. The transverse electron and proton fluid velocity components exhibit
complex, rosette
type patterns. The role of the separatrices in the phase-space, the rotational integral, and the longitudinal
structure equation on the different wave forms are discussed.
DE: 4455 Nonlinear waves, shock waves, solitons (0689, 2487, 3280, 3285, 4275, 6934, 7851, 7852)
SC: Nonlinear Geophysics [NG]
MN: 2007 Fall Meeting