Justification of the NLS approximation for the KdV equation using the Miura transformation (Q541166)
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scientific article; zbMATH DE number 5904335
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Justification of the NLS approximation for the KdV equation using the Miura transformation |
scientific article; zbMATH DE number 5904335 |
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Justification of the NLS approximation for the KdV equation using the Miura transformation (English)
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6 June 2011
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Summary: 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.
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KdV equation
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NLS equation
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Miura transformation
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