- 08-33 Alexei Rybkin
- On the Evolution of a Reflection Coefficient Under the KdV Flow
Feb 20, 08
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Abstract. We are concerend with the KdV equation on the full-line with real non-decaying initial profile. We find the time evolution of a (relative) reflection coefficient. An inverse spectral formalism is also considered for a certain mixed problems on the full-line.