RECIPROCAL TRANSFORMATIONS, PAINLEVE PROPERTY AND SOLUTIONS OF ENERGY-DEPENDENT SCHRODINGER HIERARCHIES

Authors
HONE ANW
Citation
Anw. Hone, RECIPROCAL TRANSFORMATIONS, PAINLEVE PROPERTY AND SOLUTIONS OF ENERGY-DEPENDENT SCHRODINGER HIERARCHIES, Physics letters. A, 249(1-2), 1998, pp. 46-54
Citations number
43
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
249
Issue
1-2
Year of publication
1998
Pages
46 - 54
Database
ISI
SICI code
0375-9601(1998)249:1-2<46:RTPPAS>2.0.ZU;2-8
Abstract
Energy-dependent Schrodinger hierarchies of KdV type provide examples of systems with the weak Painleve property. We propose reciprocal tran sformations such that the transformed systems satisfy the standard (st rong) Painleve test of Weiss, Tabor and Carnevale (WTC). The reciproca l transformations are used to derive some exact solutions. (C) 1998 Pu blished by Elsevier Science B.V.