| KdV方程孤子解行列式表示的简易证明 |
| |
| 引用本文： | 程丽,金利刚.KdV方程孤子解行列式表示的简易证明[J].北京联合大学学报(自然科学版),2011(2):70-72. |
| |
| 作者姓名： | 程丽 金利刚 |
| |
| 作者单位： | 1. 金华职业技术学院,师范学院,浙江金华,321017
2. 浙江师范大学,数理与信息工程学院,浙江金华,321004 |
| |
| 摘 要： | 运用矩阵和的行列式公式,得到KdV方程n孤子解公式行列式表示的一种简易证明方法,并在证明过程中推出了n孤子解公式的另一等价表示形式,可推广到其他孤子方程的孤子解公式中。
|
| 关 键 词： | KdV方程 n孤子解 行列式 |
A Brief Proof about the Determinant Representation of Soliton Solutions to the KdV Equation |
| |
| CHENG Li,JIN Ligang.A Brief Proof about the Determinant Representation of Soliton Solutions to the KdV Equation[J].Journal of Beijing Union University,2011(2):70-72. |
| |
| Authors: | CHENG Li JIN Ligang |
| |
| Institution: | CHENG Li1,JIN Ligang2(1.Normal school,Jinhua College of Profession and Technology,Jinhua Zhejiang 321017,china,2.College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua Zhejiang 321004,China) |
| |
| Abstract: | A brief proof was presented about the determinant representation of n-soliton solutions to the KdV equation by the determinant formula of matrix.Moreover,an equivalent form with soliton solutions to the KdV equation was obtained,and the form could be applied to other soliton equations. |
| |
| Keywords: | KdV equation n-soliton solution determinant |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
