dorsal/arxiv
View SchemaCoupled Nonlinear Schr\"{o}dinger equation and Toda equation (the Root of Integrability)
| Authors | Masato Hisakado |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9701022 |
| URL | https://arxiv.org/abs/solv-int/9701022 |
| DOI | 10.1143/JPSJ.66.1939 |
Abstract
We consider the relation between the discrete coupled nonlinear Schr\"{o}dinger equation and Toda equation. Introducing complex times we can show the intergability of the discrete coupled nonlinear Schr\"{o}dinger equation. In the same way we can show the integrability in coupled case of dark and bright equations. Using this method we obtain several integrable equations.
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"abstract": "We consider the relation between the discrete coupled nonlinear\nSchr\\\"{o}dinger equation and Toda equation. Introducing complex times we can\nshow the intergability of the discrete coupled nonlinear Schr\\\"{o}dinger\nequation. In the same way we can show the integrability in coupled case of dark\nand bright equations. Using this method we obtain several integrable equations.",
"arxiv_id": "solv-int/9701022",
"authors": [
"Masato Hisakado"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1143/JPSJ.66.1939",
"title": "Coupled Nonlinear Schr\\\"{o}dinger equation and Toda equation (the Root of Integrability)",
"url": "https://arxiv.org/abs/solv-int/9701022"
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