| 两个变系数(2+1)-维孤子方程的显式解 |
| |
| 引用本文： | 马云苓.两个变系数(2+1)-维孤子方程的显式解[J].河南师范大学学报(自然科学版),2011,39(4):22-24,28. |
| |
| 作者姓名： | 马云苓 |
| |
| 作者单位： | 商丘师范学院数学系,河南商丘,476000 |
| |
| 基金项目： | 国家自然科学基金(10871182;11074160); 河南省自然科学基金(102300410190); 河南省中青年骨干教师项目 |
| |
| 摘 要： | 应用双线性方法,结合一定的技巧,研究和讨论了两个变系数(2+1)-维孤子方程的显式解,给出了方程的单孤子解,双孤子解和N-孤子解,得到了(2+1)-维孤子方程不同于以往文献形式的新的显式解.
|
| 关 键 词： | 变系数(2+1)-维孤子方程 双线性方法 双线性形式 孤子解 |
Explicit Solutions of Two(2+1)-dimensional Soliton Equations with Variable Coefficients |
| |
| MA Yun-ling.Explicit Solutions of Two(2+1)-dimensional Soliton Equations with Variable Coefficients[J].Journal of Henan Normal University(Natural Science),2011,39(4):22-24,28. |
| |
| Authors: | MA Yun-ling |
| |
| Institution: | MA Yun-ling(Department of Mathematics,Shangqiu Normal University,Shangqiu 476000,China) |
| |
| Abstract: | Using the bilinear method,with the help of some skills,explicit solutions of two(2+1)-dimensional soliton equations with variable coefficients are discussed and studied,and new explicit solutions of these equations are obtained,including one-soliton solution,two-soliton solution and N-soliton solution,which differ from the ones given in previous references. |
| |
| Keywords: | the(2 1)-dimensional soliton equation with variable coefficients the bilinear method the bilinear form soliton solution |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
