Abstract:

In order to meet the need of solving nonlinear evolution equations include the equation with variable coefficients, we attempts to explore diversity of the auxiliary equation and the form of solution for more general.So We are more meaningful to the (G′/G ) -expansion method proposed by Professor of Wang Mingliang,In order to verify the validity of this promotion, we will use it to the deformation Boussinesq equations II of constant coefficient. Finally, we achieved many kinds of exact travelling wave solutions. Practice has proved: this promotion has good applicability .

Key words: nonlinear evolution equations, exact solutions, generalized G'/G expansion method, variant Boussinesq equations