Exact Solutions for a Generalized KdV-MKdV Equation with Variable Coefficients
نویسندگان
چکیده
By using solutions of an ordinary differential equation, an auxiliary equationmethod is described to seek exact solutions of variablecoefficient KdV-MKdV equation. As a result, more new exact nontravelling solutions, which include soliton solutions, combined soliton solutions, triangular periodic solutions, Jacobi elliptic function solutions, and combined Jacobi elliptic function solutions, for the KdV-MKdV equation are obtained. It is shown that the considered method provides a very effective, convenient, and powerful mathematical tool for solvingmany other nonlinear partial differential equations with variable coefficients inmathematical physics.
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