dorsal/arxiv
View SchemaSpectral Difference Equations Satisfied by KP Soliton Wavefunctions
| Authors | Alex Kasman |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9811009 |
| URL | https://arxiv.org/abs/solv-int/9811009 |
| DOI | 10.1088/0266-5611/14/6/008 |
Abstract
The Baker-Akhiezer (wave) functions corresponding to soliton solutions of the KP hierarchy are shown to satisfy eigenvalue equations for a commutative ring of translational operators in the spectral parameter. In the rational limit, these translational operators converge to the differential operators in the spectral parameter previously discussed as part of the theory of "bispectrality". Consequently, these translational operators can be seen as demonstrating a form of bispectrality for the non-rational solitons as well.
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"abstract": "The Baker-Akhiezer (wave) functions corresponding to soliton solutions of the\nKP hierarchy are shown to satisfy eigenvalue equations for a commutative ring\nof translational operators in the spectral parameter. In the rational limit,\nthese translational operators converge to the differential operators in the\nspectral parameter previously discussed as part of the theory of\n\"bispectrality\". Consequently, these translational operators can be seen as\ndemonstrating a form of bispectrality for the non-rational solitons as well.",
"arxiv_id": "solv-int/9811009",
"authors": [
"Alex Kasman"
],
"categories": [
"solv-int",
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"doi": "10.1088/0266-5611/14/6/008",
"title": "Spectral Difference Equations Satisfied by KP Soliton Wavefunctions",
"url": "https://arxiv.org/abs/solv-int/9811009"
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