Evolution of solitary waves in multicomponent plasmas

Abstract The nonlinear wave equation, derived by the augmentation of a Kadomtsev-Petviashvili (K-P) equation, discusses the evolution of soliton propagation in plasma. We employed the recently developed new formalism of a modified simple wave solution technique to the nonlinear wave dynamics for finding the soliton behaviour in plasma conceiving cold and warm electrons. Because of the new approach, the K-P wave equation has been transformed into an ordinary differential equation and finally solved by the Frobenius method in finding the nonlinear behaviours of the soliton propagation. The overall observations made by the straightforward method highlighted the various features of the solitary waves, some of which were proven to be of theoretical and experimental interest. We, in the process of using the modified simple wave solution technique, predicted the strength of the method in exhibiting the soliton dynamics having collapse or explosion causeway by the presence of multi-temperature electrons and it could be of interest by providing a better understanding in the laboratory and space plasmas.

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