Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..55...85b&link_type=abstract
Astrophysics and Space Science, vol. 55, no. 1, May 1978, p. 85-92.
Astronomy and Astrophysics
Astrophysics
3
Collisionless Plasmas, Electrostatic Waves, Plasma Turbulence, Solitary Waves, Ion Motion, Nonlinear Equations, Schroedinger Equation, Wave Equations
Scientific paper
A kinetic model is developed for large-amplitude electrostatic waves in turbulent plasmas. The nonlinear Schroedinger equation, which characterizes the modulational stability of such waves, is derived by using the multiple space-time scale method of Krylov, Bogoliubov, and Mitropolsky (1961). Criteria for the modulational stability of Langmuir waves are analyzed, and the quantitative contribution of ions in determining the nonlinear stability of Langmuir waves in a strongly turbulent plasma is examined. A necessary condition for the occurrence of Langmuir envelope solitons is obtained. It is noted that envelope solitons can act as a source of charged-particle acceleration and should exist in various space plasmas.
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