  In this paper, a new exact solution of general Degasperis-Procesi (gDP)
equation, a nonlinear equation in plasma, will be constructed by using PPA
method, extended trigonometry and extended hyperbolic method. gDP equation is a
good mathematical model for studying nonlinear shallow water wave propagation
with small amplitude and long wavelength. This study will enrich the theory and
connotation of plasma research by studying such nonlinear equation in plasma.
