Whitham's Method and Dubrovin-Novikov Bracket in Single-Phase and Multiphase Cases

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2012
• Автор: Maltsev, A.Y.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2012
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/149185
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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.

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 p...