Abstract
Stationary one-dimensional nonlinear waves in two-fluid hydrodynamics are studied analytically in the assumption of polytropic pressure and massless electrons. Particular attention is paid to the presence of soliton solutions, which exist when the asymptotic plasma velocity is in the range v2+<v2<v2F or v2SL<v2<v2_, where vSL, VI, VF, and vS are the slow, intermediate, fast and sound speeds, respectively, and v- = min(vS,vI), v+ = max(vS,vI). A general nonlinear solution is derived in the parametric representation. Inclusion of weak dissipation changes qualitatively the behavior of solutions allowing for fast shock-like solutions. A generalized expression for the whistler precursor wavelength is derived.
Original language | English |
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Pages (from-to) | 127-132 |
Number of pages | 6 |
Journal | Physics of Plasmas |
Volume | 5 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 1998 |
ASJC Scopus subject areas
- Condensed Matter Physics