Physics – Plasma Physics
Scientific paper
Jul 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998georl..25.2377b&link_type=abstract
Geophysical Research Letters, Volume 25, Issue 13, p. 2377-2380
Physics
Plasma Physics
14
Interplanetary Physics: Solar Wind Plasma, Interplanetary Physics: Mhd Waves And Turbulence, Space Plasma Physics: Nonlinear Phenomena, Space Plasma Physics: Numerical Simulation Studies
Scientific paper
Alfvén waves are a ubiquitous feature of the solar wind. One approach to studying the evolution of such waves has been to study exact solutions to approximate evolution equations. Here we compare soliton solutions of the Derivative Nonlinear Schrödinger evolution equation (DNLS) to solutions of the compressible MHD equations. We find that the soliton solutions of the DNLS equation are not stable solutions of Hall-MHD-they evolve and dissipate with time. Although such solitons may serve as approximate initial conditions to the Hall-MHD equations, they are not stationary solutions. This may account for the absence of soliton-like wave forms in the free-flowing solar wind.
Buti B.
Ghosh Sabyasachi
Goldstein Michel L.
Jayanti Venku
Lakhina Gurbax S.
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