The nonlinear wave equation, derived by the augmentation of a Kadomtse
v-Petviashvili (K-P) equation, discusses the evolution of soliton prop
agation in plasma. We employed the recently developed new formalism of
a modified simple wave solution technique to the nonlinear wave dynam
ics for finding the soliton behaviour in plasma conceiving cold and wa
rm electrons. Because of the new approach, the KP wave equation has be
en transformed into an ordinary differential equation and finally solv
ed by the Frobenius method in finding the nonlinear behaviours of the
soliton propagation. The overall observations made by the straightforw
ard method highlighted the various features of the solitary waves, som
e of which were proven to be of theoretical and experimental interest.
We, in the process of using the modified simple wave solution techniq
ue, predicted the strength of the method in exhibiting the soliton dyn
amics having collapse or explosion causeway by the presence of multi-t
emperature electrons and it could be of interest by providing a better
understanding in the laboratory and space plasmas. (C) 1998 Elsevier
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