Variable-Coefficient Exact Solutions for Nonlinear Differential Equations by a New Bernoulli Equation-Based Subequation Method

Chunxia Qi and Shunliang Huang

Mathematical Problems in Engineering, 2013, vol. 2013, 1-7

Abstract:

A new Bernoulli equation-based subequation method is proposed to establish variable-coefficient exact solutions for nonlinear differential equations. For illustrating the validity of this method, we apply it to the asymmetric (2 + 1)-dimensional NNV system and the Kaup-Kupershmidt equation. As a result, some new exact solutions with variable functions coefficients for them are successfully obtained.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:923408

DOI: 10.1155/2013/923408

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