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nlin.SI2004★ 1 cited
The Boussinesq equation and Miura type transformations
Maxim Pavlov
A direct method for calculation of Miura type transformations via LA pair is used for the Boussinesq equation. Quadratic Miura type transformations connected with local weakly-nonl…
nlin.SI2004
Description of compatible differential-geometric Poisson brackets of the first order
Maxim Pavlov
Compatible local differential-geometric Poisson brackets of the first order (Dubrovin-Novikov type) are classified by solutions of modified Sinh-Gordon equation. It was proved by E…