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

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  • Chunxia Qi
  • Shunliang Huang

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.

Suggested Citation

  • Chunxia Qi & Shunliang Huang, 2013. "Variable-Coefficient Exact Solutions for Nonlinear Differential Equations by a New Bernoulli Equation-Based Subequation Method," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, May.
    • Handle: RePEc:hin:jnlmpe:923408
    DOI: 10.1155/2013/923408
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