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Dynamics in Siberia - 2019
February 26, 2019 13:05–13:35, Novosibirsk, Sobolev Institute of Mathematics of Russian Academy of Sciences, room 417
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Sections
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A new class of exact solutions for three-dimensional quasilinear systems of first order
M. V. Pavlov |
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This page: | 110 |
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Abstract:
Well-known Lin–Reissner–Tsien equation in aerodynamics (1948) will be considered. This equation also is known as the Khokhlov–Zabolotskaya equation in nonlinear acoustics, and is known as a dispersionless limit of the Kadomtsev–Petviashvili equation in hydrodynamics.
New ansatz for construction of infinitely many two-dimensional reductions is found for this three-dimensional equation. They are generalisations of two-dimensional hydrodynamic reductions.
In one-component case, a corresponding particular solution is found with five arbitrary functions of a single variable.
Also some other three-dimensional integrable quasilinear systems of first order will be considered.
Language: English
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