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Non-local Poisson brackets and Whitham’s method. (English. Russian original) Zbl 0967.37042

Russ. Math. Surv. 54, No. 6, 1252-1253 (1999); translation from Usp. Mat. Nauk 54, No. 6, 167-168 (1999).
The author gives a new procedure for obtaining the Ferapontov brackets for Whitham’s system.

MSC:

37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
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