dorsal/arxiv
View SchemaThe averaging of non-local Hamiltonian structures in Whitham's method
| Authors | Andrei Ya. Maltsev |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9910011 |
| URL | https://arxiv.org/abs/solv-int/9910011 |
| Journal | Intern. Journ. of Math. and Math. Sci. 30:7 (2002) 399-434 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We consider the $m$-phase Whitham's averaging method and propose a procedure of "averaging" of non-local Hamiltonian structures. The procedure is based on the existence of a sufficient number of local commuting integrals of a system and gives a Poisson bracket of Ferapontov type for the Whitham's system. The method can be considered as a generalization of the Dubrovin-Novikov procedure for the local field-theoretical brackets.
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"abstract": "We consider the $m$-phase Whitham\u0027s averaging method and propose a procedure\nof \"averaging\" of non-local Hamiltonian structures. The procedure is based on\nthe existence of a sufficient number of local commuting integrals of a system\nand gives a Poisson bracket of Ferapontov type for the Whitham\u0027s system. The\nmethod can be considered as a generalization of the Dubrovin-Novikov procedure\nfor the local field-theoretical brackets.",
"arxiv_id": "solv-int/9910011",
"authors": [
"Andrei Ya. Maltsev"
],
"categories": [
"solv-int",
"nlin.SI"
],
"journal_ref": "Intern. Journ. of Math. and Math. Sci. 30:7 (2002) 399-434",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "The averaging of non-local Hamiltonian structures in Whitham\u0027s method",
"url": "https://arxiv.org/abs/solv-int/9910011"
},
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