Explicit traveling wave solutions of five kinds of nonlinear evolution equations

Abstract

First of all, by using Bernoulli equations, we develop some technical lemmas. Then, we establish the explicit traveling wave solutions of five kinds of nonlinear evolution equations: nonlinear convection diffusion equations (including Burgers equations), nonlinear dispersive wave equations (including Korteweg–de Vries equations), nonlinear dissipative dispersive wave equations (including Ginzburg–Landau equation, Korteweg–de Vries–Burgers equation and Benjamin–Bona–Mahony–Burgers equation), nonlinear hyperbolic equations (including Sine–Gordon equation) and nonlinear reaction diffusion equations (including Belousov–Zhabotinskii system of reaction diffusion equations).