New Exact Solutions of a Variable-Coefficient KdV Equation
نویسندگان
چکیده
In this paper, we apply the Miura transformation to construct the connection between a variablecoefficient KdV (vcKdV) equation and a variable-coefficient modified KdV (vcmKdV) equation under certain constraint. Solving the vcmKdV equation by use of the auxiliary equation method and using the Miura transformation, we find a rich variety of new exact solutions for the vcKdV equation, which include solitary wave solutions, triangular periodic solutions, rational function solutions and Jacobi elliptic function solutions.
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