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Theory of langmuir solitons

Bhimsen K. Shiva Moggi ; Institute of Mathematical Sciences, Madras 113, India and Department of Mathematics, University of Central Florida, Orlando, FL 32816, U. S. A.

Sažetak

The purpose of this paper is to give a theory of Langmuir solitons when the ion-nonlinearities (which become important when the Mach number of the soliton approaches unity) are included. When a charge-neutrality in the low-frequency plasma response is assumed, one obtains two models - with the low-frequency electron-density perturbation satisfying, respectively, a Korteweg-de Vries equation and a Boussinesq equation and the ponderomotive force acts as the driving term, while the Langmuir field obeys the nonlinear Schrödinger equation. The Boussinesq equation model is shown to admit only a single-humped soliton solution while the Korteweg-de Vries equation model is shown to admit only a doublehumped soliton solution. A Lagrangian formalism is given for both models.

Ključne riječi

Hrčak ID:

331123

URI

https://hrcak.srce.hr/331123

Datum izdavanja:

7.4.1986.

Podaci na drugim jezicima: hrvatski

Posjeta: 442 *