Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2002-07-26
Nonlinear Sciences
Pattern Formation and Solitons
9 pages, 5 figures
Scientific paper
10.1140/epjb/e2002-00344-1
The nonlinear coupling between the light beams and non-resonant ion density perturbations in a plasma is considered, taking into account the relativistic particle mass increase and the light beam ponderomotive force. A pair of equations comprising a nonlinear Schrodinger equation for the light beams and a driven (by the light beam pressure) ion-acoustic wave response is derived. It is shown that the stationary solutions of the nonlinear equations can be represented in the form of a bright and dark/gray soliton for one-dimensional problem. We have also present a numerical analysis which shows that our bright soliton solutions are stable exclusively for the values of the parameters compatible with of our theory.
Fedele Renato
Kant Shukla Padma
Onorato Miguel
Tsintsadze Nodar L.
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