| 王银玲,董仲周.复合KdV方程组的多种行波解[J].井冈山大学自然版,2016,(6):1-5 |
| 复合KdV方程组的多种行波解 |
| MULTIPLE TRAVELING WAVE SOLUTIONS OF THE COMPLEX COUPLED KDV EQUATIONS |
| 投稿时间：2016-06-27 修订日期：2016-08-28 |
| DOI：10.3969/j.issn.1674-8085.2016.06.001 |
| 中文关键词: 辅助函数 复合KdV方程组 行波解 |
| 英文关键词: auxiliary function complex coupled KdV Equations solitary wave solutions |
| 基金项目:国家自然科学基金项目（11305048） |
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| 摘要点击次数: 1891 |
| 全文下载次数: 3118 |
| 中文摘要: |
| 基于齐次平衡法的思想，利用辅助函数，将非线性偏微分方程组转化为代数方程组，并给出了复合KdV方程组的某些新的精确行波解，其中包括孤立波解、三角函数解、雅克比椭圆函数解和有理函数解。 |
| 英文摘要: |
| Based on the idea of the homogeneous balance method, we change the nonlinear partial differential equations into the Algebraic equations by means of the auxiliary functions method. Furthermore, we have obtained some new exact traveling wave solutions of the complex coupled KdV equations which include solitary wave solutions, trigonometric function solutions, Jacobian elliptic function solutions and rational solutions. |
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