Exact Solutions for a Generalized KdV-MKdV Equation with Variable Coefficients

Bo Tang, Xuemin Wang, Yingzhe Fan and Junfeng Qu

Mathematical Problems in Engineering, 2016, vol. 2016, 1-10

Abstract:

By using solutions of an ordinary differential equation, an auxiliary equation method is described to seek exact solutions of variable-coefficient 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 solving many other nonlinear partial differential equations with variable coefficients in mathematical physics.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5274243

DOI: 10.1155/2016/5274243

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