A new generalized Riccati equation rational expansion method to generalized Burgers-Fisher equation with nonlinear terms of any order

作者：Zhang Xiao Ling^*; Wang Jing; Zhang Hong Qing

来源：Communications in Theoretical Physics, 2006, 46(5): 779-786.

• generalized Riccati equation rational expansion method
• generalized Burgers-Fisher equation with nonlinear terms of any order
• symbolic computation

In this paper, based oil a new more general ansatz, a new algebraic method, named generalized Riccati equation rational expansion method, is devised for constructing travelling wave solutions for nonlinear evolution equations with nonlinear terms of any order. Compared with most existing tanh methods for finding travelling wave solutions, the proposed method not only recovers the results by most known algebraic methods, but also provides new and more general solutions. We choose the generalized Burgers-Fisher equation with nonlinear terms of any order to illustrate our method. As a result, we obtain several new kinds of exact solutions for the equation. This approach can also be applied to other nonlinear evolution equations with nonlinear terms of any order.

• 出版日期2006-11-15
• 单位河南理工大学; 大连理工大学