dorsal/arxiv
View SchemaAlgebraic Structure of Discrete Zero Curvature Equations and Master Symmetries of Discrete Evolution Equations
| Authors | Wen-Xiu Ma, Benno Fuchssteiner |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9809009 |
| URL | https://arxiv.org/abs/solv-int/9809009 |
| DOI | 10.1063/1.532872 |
Abstract
An algebraic structure related to discrete zero curvature equations is established. It is used to give an approach for generating master symmetries of first degree for systems of discrete evolution equations and an answer to why there exist such master symmetries. The key of the theory is to generate nonisospectral flows $(\lambda_t=\lambda ^l, l\ge0)$ from the discrete spectral problem associated with a given system of discrete evolution equations. Three examples are given.
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"abstract": "An algebraic structure related to discrete zero curvature equations is\nestablished. It is used to give an approach for generating master symmetries of\nfirst degree for systems of discrete evolution equations and an answer to why\nthere exist such master symmetries. The key of the theory is to generate\nnonisospectral flows $(\\lambda_t=\\lambda ^l, l\\ge0)$ from the discrete spectral\nproblem associated with a given system of discrete evolution equations. Three\nexamples are given.",
"arxiv_id": "solv-int/9809009",
"authors": [
"Wen-Xiu Ma",
"Benno Fuchssteiner"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1063/1.532872",
"title": "Algebraic Structure of Discrete Zero Curvature Equations and Master Symmetries of Discrete Evolution Equations",
"url": "https://arxiv.org/abs/solv-int/9809009"
},
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