Mathematics
Scientific paper
Jun 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004p%26ss...52..581d&link_type=abstract
Planetary and Space Science, Volume 52, Issue 7, p. 581-586.
Mathematics
Nonlinear Waves, Sine-Gordon Method, K-Dv Soliton, Soliton Explosions Or Collapses, Soliton Radiation
Scientific paper
It has been shown that the Korteweg-de Vries equation, derived in inhomogeneous plasma, finds difficulty in obtaining the complete soliton solution and its propagation in plasma and thus fails to exhibit the actual nature of plasma acoustic-wave. The key here lies in the use of an approach, known as sine-Gordon method, which describes successfully soliton propagation along with its precursor. The study shows that the soliton, due to the interaction of negative ions, collapses expecting a source of soliton radiation. Moreover, inhomogeneity, along with weak ionization, effects the precursor to grow faster by generating the energy from its main soliton. The results are interesting in the light of having a parallel observation on radiation, and the formation of dip and hump solitons as similar to those observations made by the scientific satellites.
Permanent address: Mathematics Department, Cotton College, Guwahati-781001, India.
Das G. C.
Devi Karabi
Devi Nirupama
Sen Shuvam
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