Extended Transformed Rational Function Method to Nonlinear Evolution Equations

摘要

In this work, we study complexiton solutions to a (2+1)-dimensional (SK) equation and a (3+1)dimensional nonlinear evolution equation. The complexiton solutions are combinations of trigonometric function waves and exponential function waves. For this goal, the extended transformed rational function method is carried out which is based on the Hirota bilinear forms of the considered equations and provides a systematical and convenient tool for constructing the exact solutions of nonlinear evolution equations.