Abstract
By using the solutions of elliptic equation, a direct method is described to construct the exact traveling wave solutions for two-dimensional KdV–Burgers and Boussinesq equations. More Jacobi elliptic function solutions are obtained. These solutions can be degenerative to hyperbolic function solutions and trigonometric function solutions when the modulus m of Jacobi elliptic function is driven to limit 1 and 0. The results include solitary wave solutions, periodic wave solutions and shock wave solutions. Many new results are presented.
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