ON THE GEOMETRY OF AN INTEGRABLE (2-DIMENSIONAL SINE-GORDON SYSTEM(1))

Authors
SCHIEF WK
Citation
Wk. Schief, ON THE GEOMETRY OF AN INTEGRABLE (2-DIMENSIONAL SINE-GORDON SYSTEM(1)), Proceedings - Royal Society. Mathematical, physical and engineering sciences, 453(1963), 1997, pp. 1671-1688
Citations number
25
Journal title
Proceedings - Royal Society. Mathematical, physical and engineering sciences
ISSN journal
13645021 → ACNP
Volume
453
Issue
1963
Year of publication
1997
Pages
1671 - 1688
Database
ISI
SICI code
1364-5021(1997)453:1963<1671:OTGOAI>2.0.ZU;2-T
Abstract
It is recorded that Darboux's method of linking the classical Lame sys tem governing triply orthogonal systems of surfaces with an integrable (2 + 1)-dimensional sine-Gordon equation may be extended and applied to the integrable two-component generalization of the latter introduce d by Konopelchenko & Rogers. Thus, in a reinterpretation, this (2 + 1) -dimensional sine-Gordon system is shown to define particular (integra ble) motions of surfaces.