Solitons and Electromagnetic Wave Propagation through Cold Collision Free Plasma

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Electromagnetic wave propagation through cold collision free plasma is studied using the nonlinear reductive perturbation method. We have studied the propagation of electromagnetic wave through plasma in (1+1) dimensions and in (2+1) dimensions. It is found that to the lowest order of perturbation the system of equationscan be reduced to modified Korteweg-deVries equation in (1+1) dimensions and to modified Kadomtsev-Petviashvili equation in (2+1) dimensions.

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