dorsal/arxiv
View SchemaAn Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
| Authors | Fritz Gesztesy, Ratnam Ratnaseelan |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9707009 |
| URL | https://arxiv.org/abs/solv-int/9707009 |
| DOI | 10.1142/S0129055X98000112 |
Abstract
We develop an alternative systematic approach to the AKNS hierarchy based on elementary algebraic methods. In particular, we recursively construct Lax pairs for the entire AKNS hierarchy by introducing a fundamental polynomial formalism and establish the basic algebro-geometric setting including associated Burchnall-Chaundy curves, Baker-Akhiezer functions, trace formulas, Dubrovin-type equations for analogs of Dirichlet and Neumann divisors, and theta function representations for algebro-geometric solutions.
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"abstract": "We develop an alternative systematic approach to the AKNS hierarchy based on\nelementary algebraic methods. In particular, we recursively construct Lax pairs\nfor the entire AKNS hierarchy by introducing a fundamental polynomial formalism\nand establish the basic algebro-geometric setting including associated\nBurchnall-Chaundy curves, Baker-Akhiezer functions, trace formulas,\nDubrovin-type equations for analogs of Dirichlet and Neumann divisors, and\ntheta function representations for algebro-geometric solutions.",
"arxiv_id": "solv-int/9707009",
"authors": [
"Fritz Gesztesy",
"Ratnam Ratnaseelan"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1142/S0129055X98000112",
"title": "An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy",
"url": "https://arxiv.org/abs/solv-int/9707009"
},
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