Characteristic aspects of the stability of Kadomtsev-Petviashvili solitary waves in plasmas

Details Characteristic aspects of the stability of Kadomtsev-Petviashvili solitary waves in plasmas Characteristic aspects of the stability of Kadomtsev-Petviashvili solitary waves in plasmas

Nov 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994p%26ss...42..993d&link_type=abstract

Planetary and Space Science (ISSN 0032-0633), vol. 42, no. 11, p. 993-999

Mathematics

3

Electrons, Mathematical Models, Plasma Waves, Shock Waves, Solitary Waves, Stability, Equations Of Motion, Perturbation Theory, Singularity (Mathematics), Wave Equations

Scientific paper

By employing the reductive perturbation technique (RPT), the solitary waves in an ideal model of multidimensional space-plasmas are studied by the Kadomtsev-Petviashvili (K-P) equation. It has been shown that the presence of multitemperature electrons exhibits the compressive and rarefactive solitary waves bifurcated by the critical densities appear at the zeros of the nonlinear coefficient in the K-P equation. Because of the zeros, singlarities in soliton propagation appear and lead to the derivation, with a modified RPT, of a modified K-P (mK-P) equation, which in fact exhibits not only the compressive and rarefactive solitary waves but also shows the formation of shock-like waves. The analyses on soliton propagation are also derived by the Sagdeev potential, confirming all those solitary waves observed by the implementation of the K-P equation. The main emphasis has been given to highlighting the stability of the soliton, and, even though they have singularities as well as shock-like waves, it was found that the solitary waves are stable, independent of their nature.

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