EXACT SOLUTIONS TO KdV-BURGERS EQUATION USING THE ENHANCED MODIFIED SIMPLE EQUATION METHOD

• 作者: Desheng Li Dong Xia
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: ENHANCED modifed SIMPLE EQUATION METHOD KDV-BURGERS EQUATION exact SOLUTIONS solitary wave SOLUTIONS
• 年，卷（期）: 2013,（4）
• 页码范围: 466-473
• 页数: 8页
• 分类号: O175

摘要

It is known that many physical phenomenons can be described by the KdV-Burgers equation. By the enhanced modifed simple equation method, we obtain the exact solutions with variable coefcients involving parameters to KdV-Burgers equation, and some new exact solutions are gained. When these parameters are taken special values, the solitary wave solutions are derived from the exact solutions. It is shown that the proposed method provides a more powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.