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Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds

J. Math. Phys. 50, 103521 (2009); doi:10.1063/1.3239507

Published 6 October 2009

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Iryna Egorova,1 Johanna Michor,2 and Gerald Teschl2
1B. Verkin Institute for Low Temperature Physics, 47 Lenin Ave., 61164 Kharkiv, Ukraine
2Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Wien, Austria and International Erwin Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, 1090 Wien, Austria
We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy for solutions which are asymptotically close to (in general) different finite-gap solutions as n-->±[infinity]. ©2009 American Institute of Physics
History: Received 12 May 2009; accepted 2 September 2009; published 6 October 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/103521/1
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0022-2488 (print)   1089-7658 (online)
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REFERENCES (38)
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