On exact multidimensional solutions of a nonlinear system of first order partial differential equations

DOI10.26516/1997-7670.2019.28.53zbMath1423.35068OpenAlexW2950488680WikidataQ127652495 ScholiaQ127652495MaRDI QIDQ2272887

Vladimir Viktorovich Tirskikh, Alexander Arkad'evich Kosov, Edward Ivanovich Semenov

Publication date: 17 September 2019

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1297

zbMATH Keywords

arbitrary functions of timeHamilton-Jacobi-like equationsquadratic dependence on the spatial variables

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Solutions to PDEs in closed form (35C05) Hamilton-Jacobi equations (35F21) Systems of nonlinear first-order PDEs (35F50)

Related Items (2)

On exact solutions of a multidimensional system of elliptic equations with power-law nonlinearities ⋮ Multidimensional exact solutions of a system of nonlinear Boussinesq type equations

Cites Work

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• Vlasov-Poisson equations for a two-component plasma in a homogeneous magnetic field
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• Comparison principle for equations of the Hamilton-Jacobi type in control theory

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