Using Symbolic Computation to Exactly Solve the Integrable Broer–KaupEquations in (2+1)-Dimensional Spaces

Abstract

The extended tanh method is further improved by generalizingthe Riccati equation and introducing its twenty seven newsolutions. As its application, the (2+1)-dimensional Broer-Kaupequation is investigated and then its fifty four non-travellingwave solutions have been obtained. The results reported in thispaper show that this method is more powerful than those, such astanh method, extended tanh method, modified extended tanh methodand Riccati equation expansion method introduced in previous literatures.