Justification of the NLS Approximation for the KdV Equation Using the Miura Transformation
Justification of the NLS Approximation for the KdV Equation Using the Miura Transformation
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DOI：
10.1155/2011/854719
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发表时间：
2011-05
影响因子：
1.2
通讯作者：
G. Schneider
中科院分区：
文献类型：
--
作者：
G. Schneider
本文的目的是给出一个简单的证明，KdV方程的解可以通过NLS方程的解来近似。证明是基于消除二次项的KdV方程通过三浦变换。
It is the purpose of this paper to give a simple proof of the fact that solutions of the KdV equation can be approximated via solutions of the NLS equation. The proof is based on an elimination of the quadratic terms of the KdV equation via the Miura transformation.