B?cklund Transformations and Interaction Solutions of the Burgers Equation

The Burgers equation is one of the most important prototypic models in nonlinear physics. Various exact solutions of the Burgers equation have been found by many methods. However, it is very difficult to find interactive solutions among different types of nonlinear excitations. We develop a generalized tanh function expansion approach, which can be considered as the B?cklund transformation, to find interactive solutions between the soliton and other types of Burgers waves.