| Autor: | J. Leon, F. Geniet |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Essential singularity
Nonlinear Sciences::Exactly Solvable and Integrable Systems Inverse scattering transform Light cone Mathematical analysis Inverse scattering problem Free boundary problem Statistical and Nonlinear Physics Boundary value problem Scattering theory Mathematical Physics Elliptic boundary value problem Mathematics |
| Zdroj: | Theoretical and Mathematical Physics. 133:1504-1515 |
| ISSN: | 0040-5779 |
| Popis: | The Zakharov–Shabat inverse spectral problem is constructed for a potential with support on the half-line and with a boundary value at the origin. This prescribed value is shown to produce a Jost solution with an essential singularity at large values of the spectral parameter; this requires particular attention when solving the related Hilbert boundary value problem. The method is then used to illustrate the sine-Gordon equation (in the light cone) and is discussed using a singular limit of the stimulated Raman scattering equations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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