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Accession number;06A0312766
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| Title;Jump-defects in the nonlinear Schroedinger model and other non-relativistic field theories |
| Author;
CORRIGAN E
(Univ. York, York, Gbr)
ZAMBON C
(Univ. Kyoto, Kyoto, Jpn)
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Journal Title;YITP
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Journal Code:L0911B
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ISSN:
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VOL.;NO.05-77;PAGE.25P(2005)
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| Figure&Table&Reference;REF.32 |
| Pub. Country;Japan |
| Language;English |
| Abstract;It is shown that the condition that the jump-defects, described by a delta function, cause pure transmission can be extended to non-relativistic models without destroying the integrability. In the 1-dimensional nonlinear Schroedinger equation, the defect condition is expressed by a Baecklund transformation and the preservation of integrability is derived via a Lax pair argument. The scattering between one soliton and a defect and between two solitons and a defect is studied and bound states associated with the jump-defects are obtained. The cases of (modified) Korteweg de Vries equations are briefly discussed. |
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