Seminar talk, 25 November 2015: Difference between revisions
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{{Talk | {{Talk | ||
| speaker = Maxim Pavlov | | speaker = Maxim Pavlov | ||
| title = How to construct an integrable hydrodynamic chain (here integrability is understood as existence of infinitely many conservation laws or vanishing all components of the Haanties tensor) from an integrable 3-dimensional quasilinear second order equation (here integrability is understood as | | title = How to construct an integrable hydrodynamic chain (here integrability is understood as existence of infinitely many conservation laws or vanishing all components of the Haanties tensor) from an integrable 3-dimensional quasilinear second order equation (here integrability is understood as existence of so-called dispersionless Lax pair) | ||
| abstract = As a simplest example we consider dispersionless limit of Kadomtsev-Petviashvili equation and the Benni hydrodynamic chain related to it. | | abstract = As a simplest example we consider dispersionless limit of Kadomtsev-Petviashvili equation and the Benni hydrodynamic chain related to it. | ||
Latest revision as of 20:06, 11 November 2015
Speaker: Maxim Pavlov
Title: How to construct an integrable hydrodynamic chain (here integrability is understood as existence of infinitely many conservation laws or vanishing all components of the Haanties tensor) from an integrable 3-dimensional quasilinear second order equation (here integrability is understood as existence of so-called dispersionless Lax pair)
Abstract:
As a simplest example we consider dispersionless limit of Kadomtsev-Petviashvili equation and the Benni hydrodynamic chain related to it.
Our second example is weakly nonlinear equations, there are 5 of them up to cont
act equivalence, according to the classification by Ferapontov and Moss.