dorsal/arxiv
View SchemaOn the Miura map between the dispersionless KP and dispersionless modified KP hierarchies
| Authors | Jen-Hsu Chang, Ming-Hsien Tu |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9912016 |
| URL | https://arxiv.org/abs/solv-int/9912016 |
| DOI | 10.1063/1.533416 |
| Journal | J. Math. Phys. 41 (2000) 5391-5406 |
Abstract
We investigate the Miura map between the dispersionless KP and dispersionless modified KP hierarchies. We show that the Miura map is canonical with respect to their bi-Hamiltonian structures. Moreover, inspired by the works of Takasaki and Takebe, the twistor construction of solution structure for the dispersionless modified KP hierarchy is given.
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"abstract": "We investigate the Miura map between the dispersionless KP and dispersionless\nmodified KP hierarchies. We show that the Miura map is canonical with respect\nto their bi-Hamiltonian structures. Moreover, inspired by the works of Takasaki\nand Takebe, the twistor construction of solution structure for the\ndispersionless modified KP hierarchy is given.",
"arxiv_id": "solv-int/9912016",
"authors": [
"Jen-Hsu Chang",
"Ming-Hsien Tu"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1063/1.533416",
"journal_ref": "J. Math. Phys. 41 (2000) 5391-5406",
"title": "On the Miura map between the dispersionless KP and dispersionless modified KP hierarchies",
"url": "https://arxiv.org/abs/solv-int/9912016"
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