Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China;Department of Mathematics, Linyi Teachers University, Linyi 276005, China Department of Mathematics, Linyi Teachers University, Linyi 276005, China
Abstract:
A new generalized tanh function method is used for constructing exact travelling wave solutions of nonlinear partial differential equations in a unified way. The main idea of this method is to take full advantage of the Riccati equation, which has more new solutions. More new multiple soliton-like solutions are obtained for the (3 1 )-dimensional Burgers equation with variable coefficients.