The general solutions of an auxiliary ordinary differential equation using complex method and its applications
The general solutions of an auxiliary ordinary differential equation using complex method and its applications
Abstract In this paper, we employ the complex method to obtain all meromorphic solutions of an auxiliary ordinary differential equation at first, and then find all meromorphic general solutions of in combination the Newell-Whitehead equation, the NLS equation, and the Fisher equation with degree three. Our result shows that all …