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Digitale Medien

New geometries associated with the nonlinear Schrödinger equation (2002)

Murugesh, S. ; Balakrishnan, Radha

Springer

The European physical journal 29 (2002), S. 193-196

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ISSN: 1434-6036

Schlagwort(e): PACS. 02.40.Hw Classical differential geometry – 05.45.Yv Solitons – 75.10.Hk Classical spin models

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract: We apply our recent formalism establishing new connections between the geometry of moving space curves and soliton equations, to the nonlinear Schrödinger equation (NLS). We show that any given solution of the NLS gets associated with three distinct space curve evolutions. The tangent vector of the first of these curves, the binormal vector of the second and the normal vector of the third, are shown to satisfy the integrable Landau-Lifshitz (LL) equation = × , ( = 1). These connections enable us to find the three surfaces swept out by the moving curves associated with the NLS. As an example, surfaces corresponding to a stationary envelope soliton solution of the NLS are obtained.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1140/epjb/e2002-00284-8

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