| 解KdV方程无反射始值问题的代数方法 |
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| 引用本文： | 郭福奎.解KdV方程无反射始值问题的代数方法[J].山东科技大学学报(自然科学版),1994(2). |
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| 作者姓名： | 郭福奎 |
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| 摘 要： | ＫｄＶ方程的纯Ｎ－孤子解，相应于无反射始值条件．用反散射变换解这种始值问题，要假设特征值与规模常数为已知，因而不具备具体的应用价值．本文建立的代数方法，正是从计算特征值、特征函数与规范常数入手，是解这种特殊始值问题的具体、独立而有效的方法。
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| 关 键 词： | KdV方程，散射问题，无反射始值问题，反散射变换 |
ALGEBRAIC METHOD OF SOLVING REFLECTION LESS INITIAL VALUE PROBLEM FOR THE KdV EQUATION |
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| Guo Fukui.ALGEBRAIC METHOD OF SOLVING REFLECTION LESS INITIAL VALUE PROBLEM FOR THE KdV EQUATION[J].Journal of Shandong Univ of Sci and Technol: Nat Sci,1994(2). |
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| Authors: | Guo Fukui |
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| Institution: | Dept.of App. Math. and software Eng. |
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| Abstract: | Pure N-solifon solutions of the Kdv equation are related to reflectionless initial conditions.To solve this initial value problem by inverse scattering tramsformation needsto suppose that eigemvalues and normal constants are known.Therefore is has no concrete application value. The algebraic method established in this paper that starts with the computation of eigenvalues,eigenfunctions and normal constants is a conerete,independent and effective method for solving the special initial value problem. |
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| Keywords: | Kdv equation scattering problems refleetionless initial value problem inverse scattering tramsformation resultant sturm set |
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