In this paper, we study the modified Degasperis-Procesi equation and Camassa-Holm equation, (2+1)-dimensional Gardner equation, (2+1)-dimensional modified Kadometsev-Petviashvili equation, coupled KdV equation and modified coupled KdV equation by the homogeneous balance method and the algebraic method by which solutions can be constructed uniformly and symbolicly, with the help of Mathematica, we can obtain some new exact solutions. |