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

@article{Maltsev2012WhithamsMA, title={Whitham's Method and Dubrovin-Novikov Bracket in Single-Phase and Multiphase Cases}, author={Andrei Ya. Maltsev}, journal={Symmetry Integrability and Geometry-methods and Applications}, year={2012}, volume={8}, pages={103} }

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…

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