Partial Differential Equations in Applied Mathematics (Dec 2021)
New exact solutions of the sixth-order thin-film equation with complex method
Abstract
By the Wiman–Valiron theory and the complex method, we prove that all meromorphic solutions of the fifth-order ODE unu′′′′′−cu=0belong to W, and obtain several new solutions of the sixth-order thin-film equation comparing to the opening literature. At last we propose two unsolved problems for the readers.
