Whitham's Method and Dubrovin-Novikov Bracket in Single-Phase and Multiphase Cases
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Whitham's Method and Dubrovin-Novikov Bracket in Single-Phase and Multiphase Cases
|
|
| Creator |
Maltsev, A.Y.
|
|
| Description |
In this paper we examine in detail the procedure of averaging of the local field-theoretic Poisson brackets proposed by B.A. Dubrovin and S.P. Novikov for the method of Whitham. The main attention is paid to the questions of justification and the conditions of applicability of the Dubrovin-Novikov procedure. Separate consideration is given to special features of single-phase and multiphase cases. In particular, one of the main results is the insensitivity of the procedure of bracket averaging to the appearance of ''resonances'' which can arise in the multi-phase situation.
|
|
| Date |
2019-02-19T18:22:01Z
2019-02-19T18:22:01Z 2012 |
|
| Type |
Article
|
|
| Identifier |
Whitham's Method and Dubrovin-Novikov Bracket in Single-Phase and Multiphase Cases / A.Y. Maltsev // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 50 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 37K05; 35B10; 35B15; 35B34; 35L65 DOI: http://dx.doi.org/10.3842/SIGMA.2012.103 http://dspace.nbuv.gov.ua/handle/123456789/149185 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|