Finite difference modeling of solitons induced by a density hump in a plasma multi-fluid.

*(English)*Zbl 0987.76065Summary: A Lax-Wendroff type semi-implicit numerical scheme is employed to numerically integrate the nonlinear one-dimensional unmagnetized plasma multi-fluid equations for ideal gases to obtain soliton solutions from an initial density hump profile. The time evolution of such solitons is studied and found to be similar to those obtained with previous simulation techniques and to those that have been observed in experimental studies. Effects such as two-soliton collisions and soliton-boundary reflections, are observed by means of a model involving a fully nonlinear time-evolutionary numerical treatment of plasma as a multi-fluid.

##### MSC:

76M20 | Finite difference methods applied to problems in fluid mechanics |

76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |

##### Keywords:

density hump; Lax-Wendroff type semi-implicit scheme; nonlinear one-dimensional unmagnetized plasma multi-fluid equations; ideal gases; time evolution; two-soliton collisions; soliton-boundary reflections
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\textit{S. Baboolal}, Math. Comput. Simul. 55, No. 4--6, 309--316 (2001; Zbl 0987.76065)

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##### References:

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