SURFACES OF REVOLUTION AND THEIR INTEGRABLE DYNAMICS VIA THE SCHRODINGER AND KDV EQUATIONS

Authors
KONOPELCHENKO BG
Citation
Bg. Konopelchenko, SURFACES OF REVOLUTION AND THEIR INTEGRABLE DYNAMICS VIA THE SCHRODINGER AND KDV EQUATIONS, Inverse problems, 12(4), 1996, pp. 13-18
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
12
Issue
4
Year of publication
1996
Pages
13 - 18
Database
ISI
SICI code
0266-5611(1996)12:4<13:SORATI>2.0.ZU;2-X
Abstract
Surfaces of revolution in the space S-3 of constant curvature K-0 are shown to be associated with the one-dimensional Schrodinger equation. Integrable deformations of surfaces of revolution are given by the KdV and higher KdV equations which preserve the value of K-0. Spindle-sha ped surfaces with finite area are considered. They are related to the bound states for the Schrodinger equation and correspond to the discre te values of K-0.