ON AN OLD ARTICLE OF TZITZEICA AND THE INVERSE SCATTERING METHOD

Citation
Ay. Boldin et al., ON AN OLD ARTICLE OF TZITZEICA AND THE INVERSE SCATTERING METHOD, Journal of mathematical physics, 34(12), 1993, pp. 5801-5809
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
34
Issue
12
Year of publication
1993
Pages
5801 - 5809
Database
ISI
SICI code
0022-2488(1993)34:12<5801:OAOAOT>2.0.ZU;2-0
Abstract
Tzitzeica's class of surfaces in R3 is considered in connection with t he inverse scattering method for the associated equation u(xy) = e(u)- e-2u. The Backlund transformation for this equation is derived from Tz itzeica's Darboux transformation for it.