| Vakhnenko方程的新显式精确行波解 |
| |
| 引用本文： | 黄维,沈天龙.Vakhnenko方程的新显式精确行波解[J].岳阳师范学院学报,2013(3):26-29,94. |
| |
| 作者姓名： | 黄维 沈天龙 |
| |
| 作者单位： | 国防科学技术大学理学院,长沙410073 |
| |
| 基金项目： | 2013年湖南省普通高等学校教学改革研究项目资助;国防科技大学预研基金资助（JC110202）;2011年湖南省自科基金资助项目（11JJ3004） |
| |
| 摘 要： | 借助计算机代数系统Mathematic软件，利用双函数法和吴氏消元法，获得了Vakhnenko方程的一系列显示精确行波解，其中包括孤波解和周期解，并得到了该方程的新的显式精确行波解，丰富了Vakhnenko方程的解法研究．
|
| 关 键 词： | 非线性方程 Vakhnenko方程 精确解 行波解 双函数法 |
New Exact Traveling Wave Solutions to the Vakhnenko Equation |
| |
| HUANG Wei,SHEN Tian-long.New Exact Traveling Wave Solutions to the Vakhnenko Equation[J].Journal of Yueyang Normal University,2013(3):26-29,94. |
| |
| Authors: | HUANG Wei SHEN Tian-long |
| |
| Institution: | (College of Science, National University of Defense Technology, Changsha 410073, China) |
| |
| Abstract: | In this paper, on the base of the computer algebra system named Mathematic, many exact traveling wave solutions to the Vakhnenko equation were obtained by using the hyperbola fimction method and Wu-eliminafion method, which include new solitary wave solutions and periodic solutions. In this way, we enriched the study of the Vakhnenko equation. |
| |
| Keywords: | nonlinear equation the Vakhnenko equation exact solutions traveling wave solutions hyperbola function method |
| 本文献已被 维普 等数据库收录！ |
