Behaviour of slow Langmuir solitons
Abstract
Zakharov's equations, describing the interaction of Langmuir waves and ion sound, are studied in the regime of low amplitude and wavenumber by means of an expansion in powers of the Mach number. A perturbed nonlinear Schrödinger equation is derived, and shown to possess adiabatic invariants which are analogous to the conserved quantities of the unperturbed equation. One of these is constructed explicitly.
 Publication:

Physics Letters A
 Pub Date:
 July 1978
 DOI:
 10.1016/03759601(78)905558
 Bibcode:
 1978PhLA...67...22G
 Keywords:

 Electrostatic Waves;
 Schroedinger Equation;
 Solitary Waves;
 Electric Fields;
 Energy Transfer;
 Hamiltonian Functions;
 Mach Number;
 Plasmons;
 Wavelengths;
 Plasma Physics