Solving non-linear equations of longitudinal and transverse electron waves in collisionless Maxwellian plasma

Physics – Plasma Physics

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12 pages, no figures, PDF

Scientific paper

We have considered an expansion of asymptotical solutions of the non-linearized equations for both longitudinal and transverse waves in collisionless Maxwellian plasma in series of non-damping overtones of the field E(x,t) and electron velocity distribution function f which equals f(0)plus f(1), where f(0) is background Maxwellian distribution function; f(1)is disturbed wave part. There are deduced recurrent relations expressing the terms of higher order by means of the terms of lower orders. There are proposed also procedures of cutting the distribution function to the value f equal zero in the regions where kinetic equation becomes inapplicable due to f becomes negative. There is noted a possibility of experimental probing appearing exotic results.

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