INTRINSIC GEOMETRY OF THE NLS EQUATION AND ITS AUTO-BACKLUND TRANSFORMATION

Authors
ROGERS C SCHIEF WK
Citation
C. Rogers et Wk. Schief, INTRINSIC GEOMETRY OF THE NLS EQUATION AND ITS AUTO-BACKLUND TRANSFORMATION, Studies in applied mathematics, 101(3), 1998, pp. 267-287
Citations number
33
Categorie Soggetti
Mathematics,Mathematics
Journal title
Studies in applied mathematics → ACNP
ISSN journal
00222526
Volume
101
Issue
3
Year of publication
1998
Pages
267 - 287
Database
ISI
SICI code
0022-2526(1998)101:3<267:IGOTNE>2.0.ZU;2-Y
Abstract
The nonlinear Schrodinger equation is derived in a general intrinsic g eometric setting involving a normal congruence originally investigated by Marris and Passman in 1969 in a hydrodynamical context. Geometric properties of members of the normal congruence are adduced and an intr insic representation of the auto-Backlund transformation is obtained f or the nonlinear Schrodinger equation.