dorsal/arxiv
View SchemaDarboux Transformations for a Lax Integrable System in $2n$-Dimensions
| Authors | Wen-Xiu Ma |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9605002 |
| URL | https://arxiv.org/abs/solv-int/9605002 |
| DOI | 10.1007/s11005-997-3049-3 |
Abstract
A $2n$-dimensional Lax integrable system is proposed by a set of specific spectral problems. It contains Takasaki equations, the self-dual Yang-Mills equations and its integrable hierarchy as examples. An explicit formulation of Darboux transformations is established for this Lax integrable system. The Vandermonde and generalized Cauchy determinant formulas lead to a description for deriving explicit solutions and thus some rational and analytic solutions are obtained.
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"abstract": "A $2n$-dimensional Lax integrable system is proposed by a set of specific\nspectral problems. It contains Takasaki equations, the self-dual Yang-Mills\nequations and its integrable hierarchy as examples. An explicit formulation of\nDarboux transformations is established for this Lax integrable system. The\nVandermonde and generalized Cauchy determinant formulas lead to a description\nfor deriving explicit solutions and thus some rational and analytic solutions\nare obtained.",
"arxiv_id": "solv-int/9605002",
"authors": [
"Wen-Xiu Ma"
],
"categories": [
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],
"doi": "10.1007/s11005-997-3049-3",
"title": "Darboux Transformations for a Lax Integrable System in $2n$-Dimensions",
"url": "https://arxiv.org/abs/solv-int/9605002"
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