dorsal/arxiv
View SchemaDispersionful analogues of Benney's equations and $N$-wave systems
| Authors | B. Enriquez, A. Yu. Orlov, V. N. Rubtsov |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9510002 |
| URL | https://arxiv.org/abs/solv-int/9510002 |
| DOI | 10.1088/0266-5611/12/3/005 |
Abstract
We recall Krichever's construction of additional flows to Benney's hierarchy, attached to poles at finite distance of the Lax operator. Then we construct a ``dispersionful'' analogue of this hierarchy, in which the role of poles at finite distance is played by Miura fields. We connect this hierarchy with $N$-wave systems, and prove several facts about the latter (Lax representation, Chern-Simons-type Lagrangian, connection with Liouville equation, $\tau$-functions).
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"abstract": "We recall Krichever\u0027s construction of additional flows to Benney\u0027s hierarchy,\nattached to poles at finite distance of the Lax operator. Then we construct a\n``dispersionful\u0027\u0027 analogue of this hierarchy, in which the role of poles at\nfinite distance is played by Miura fields. We connect this hierarchy with\n$N$-wave systems, and prove several facts about the latter (Lax representation,\nChern-Simons-type Lagrangian, connection with Liouville equation,\n$\\tau$-functions).",
"arxiv_id": "solv-int/9510002",
"authors": [
"B. Enriquez",
"A. Yu. Orlov",
"V. N. Rubtsov"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1088/0266-5611/12/3/005",
"title": "Dispersionful analogues of Benney\u0027s equations and $N$-wave systems",
"url": "https://arxiv.org/abs/solv-int/9510002"
},
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