Transcendental meromorphic solutions of certain types of differential equations

Abstract

In this paper, we analyze the transcendental meromorphic solutions of nonlinear complex differential equation of the formfn+P(z,f)=p1eα1zk+p2eα2zk, where n≥2 and k≥1 are integers, f is a meromorphic function, P(z,f) is a differential polynomial in f of degree at most n−1 with rational functions of f as the coefficients, α1,α2,p1,p2 are nonzero constants. We also present a number of examples showing the accuracy of our results.