Prog. Theor. Phys. Supplement No.94 (1988) pp. 138-162
Soliton Modes in an Unstable Plasma
— Nonlinear Phenomena in an Electron-Beam Plasma
Research Institute for Applied Mechanics, Kyushu University, Kasuga 816
*Department of High Energy Engineering Science, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga 816
(Received April 9, 1988)
A synergetic approach is applied to the study of nonlinear evolution of unstable waves in an electron beam plasma. When the beam velocity is sufficiently large compared with the thermal velocity of electrons, the system is linearly unstable against electrostatic perturbations of large wavelengths, but stabilized in its nonlinear stage by the effect of ponderomotive force of high-frequency fields. The results show that the amplitude of unstable plane wave behaves such as ∼ sech γt as a function of time t, where γ is the linear growth rate, never growing up infinitely. It is also shown that the plane wave is unstable for long wavelength modulation and is stabilized by emission of a series of envelope solitons.
DOI : 10.1143/PTPS.94.138
- V. E. Zakharov and A. B. Shabat, Sov. Phys. -JETP 34 (1972), 62.
- V. E. Zakharov, Sov. Phys. -JETP 35 (1972), 908.
M. V. Goldman, Rev. Mod. Phys. 56 (1984), 709[APS].
P. Y. Cheung, A. Y. Wong, C. B. Darrow and S. J. Qian, Phys. Rev. Lett. 48 (1982), 1348[APS].
A. Y. Wong and P. Y. Cheung, Proc. Int. Conf. Plasma (held at Lausanne, June 27-July 3, 1984), p. 593.
- Yu. V. Mokhov and K. V. Chukbar, Sov. J. Plasma Phys. 10 (1984), 635.
T. Taniuti and N. Yajima, J. Math. Phys. 10 (1969), 1369[CrossRef].
M. Oikawa and N. Yajima, J. Phys. Soc. Jpn. 37 (1974), 486[JPSJ].
- F. If, P. L. Christiansen, J. N. Elgin, J. D. Gibbon and O. Skovgaard, Physica D 23 (1986), 362.
Citing Article(s) :
Journal of the Physical Society of Japan 59 (1990) pp. 3237-3248
Solitons in Electron Beam Plasma
Tetsu Yajima and Miki Wadati
Journal of the Physical Society of Japan 61 (1992) pp. 1187-1193
A New Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities
Miki Wadati, H. Segur and M. J. Ablowitz
Journal of the Physical Society of Japan 62 (1993) pp. 1927-1931
Analysis of a Hamiltonian Amplitude Equation
C. C. Chow, S. J. Fromm and H. Segur