Three dimensional reductions of four-dimensional quasilinear systems

Maxim V. Pavlov; Nikola M. Stoilov

doi:10.1063/1.5006601

Three dimensional reductions of four-dimensional quasilinear systems

Maxim V. Pavlov, Nikola M. Stoilov

Лаборатория нелинейных процессов в гидродинамических системах ММФ

Результат исследования: Научные публикации в периодических изданиях › статья

1 Цитирования (Scopus)

Аннотация

In this paper, we show that four-dimensional quasilinear systems of first order integrable by the method of two-dimensional hydrodynamic reductions possess infinitely many three-dimensional hydrodynamic reductions, which are also integrable systems. These three-dimensional multi-component integrable systems are irreducible to twodimensional hydrodynamic reductions in a generic case.

Язык оригинала	английский
Номер статьи	111510
Число страниц	9
Журнал	Journal of Mathematical Physics
Том	58
Номер выпуска	11
DOI	https://doi.org/10.1063/1.5006601
Состояние	Опубликовано - 1 ноя 2017

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Pavlov, M. V., & Stoilov, N. M. (2017). Three dimensional reductions of four-dimensional quasilinear systems. Journal of Mathematical Physics, 58(11), [111510]. https://doi.org/10.1063/1.5006601

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abstract = "In this paper, we show that four-dimensional quasilinear systems of first order integrable by the method of two-dimensional hydrodynamic reductions possess infinitely many three-dimensional hydrodynamic reductions, which are also integrable systems. These three-dimensional multi-component integrable systems are irreducible to twodimensional hydrodynamic reductions in a generic case.",

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Доступ к документу

10.1063/1.5006601

Link to publication in Scopus