Published April 1991
| public
Journal Article
Commutation methods applied to the mKdV-equation
- Creators
- Gesztesy, F.
- Schweiger, W.
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Simon, B.
Chicago
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Abstract
An explicit construction of solutions of the modified Korteweg-de Vries equation given a solution of the (ordinary) Korteweg-de Vries equation is provided. Our theory is based on commutation methods (i.e., N = 1 supersymmetry) underlying Miura's transformation that links solutions of the two evolution equations.
Additional Information
© 1991 American Mathematical Society. Dedicated to Raphael Heegh-Krohn (1938-1988). Received by the editors January 15, 1990. The first author is a Max Kade Foundation Fellow and, with the third author, was partially supported by USNSF under Grant DMS-8801918. The second author was supported by BMFT, Federal Republic of Germany. We are indebted to David Gurarie for several most stimulating discussions. F. Gesztesy is indebted to D. Wales for the hospitality extended to him at Caltech. He also gratefully acknowledges financial support from the Max Kade Foundation and from USNSF under Grant DMS-8801918.Additional details
- Eprint ID
- 76004
- Resolver ID
- CaltechAUTHORS:20170408-144611234
- Max Kade Foundation
- NSF
- DMS-8801918
- Bundesministerium für Forschung und Technologie (BMFT)
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2017-05-04Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field