Scholarlink

We discuss the Simple Equations Method for obtaining exact solutions of non-linear differential equations. We demonstrate the methodology on the basis of two examples. In the first example we show the effect of a transformation on an equation possessing nonpolynomial nonlinearity. The equation is transformed to an equations with a polynomial nonlinearity which can be solved by Jacobi elliptic functions. In the second example we obtain a solution of an equation which possesses polynomial nonlinearity.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Simple Equations Method for Obtaining Exact Solutions of Nonlinear Differential Equations with Polynomial or Nonpolynomial Nonlinearity

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Zlatinka I. Dimitrova,
  • Nikolay K. Vitanov

摘要

We discuss the Simple Equations Method for obtaining exact solutions of non-linear differential equations. We demonstrate the methodology on the basis of two examples. In the first example we show the effect of a transformation on an equation possessing nonpolynomial nonlinearity. The equation is transformed to an equations with a polynomial nonlinearity which can be solved by Jacobi elliptic functions. In the second example we obtain a solution of an equation which possesses polynomial nonlinearity.