ISOSPECTRAL PROBLEM - INTERPLAY BETWEEN LIOUVILLE EQUATIONS, DARBOUX TRANSFORMS AND MCKEAN-TRUBOWITZ FLOWS

Authors
KOROLEV VG
Citation
Vg. Korolev, ISOSPECTRAL PROBLEM - INTERPLAY BETWEEN LIOUVILLE EQUATIONS, DARBOUX TRANSFORMS AND MCKEAN-TRUBOWITZ FLOWS, Journal of physics. A, mathematical and general (Print), 31(46), 1998, pp. 9297-9307
Citations number
26
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general (Print) → ACNP
ISSN journal
03054470
Volume
31
Issue
46
Year of publication
1998
Pages
9297 - 9307
Database
ISI
SICI code
0305-4470(1998)31:46<9297:IP-IBL>2.0.ZU;2-X
Abstract
Systems of Liouville equations are generated by isospectral transforms of the Schrodinger operator and describe the isospectral evolution of both a potential and eigenfunctions. Relations of these equations wit h the McKean-Trubowitz isospectral flows are studied. The role of thes e Bows among other isospectral flows is discussed.