Multidimensional exact solutions of a system of nonlinear Boussinesq type equations

DOI10.26516/1997-7670.2019.30.114zbMath1435.35234OpenAlexW2998042063MaRDI QIDQ2306842

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

Publication date: 26 March 2020

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=1324

zbMATH Keywords

nonlinear systemreductionexact solutionsnonlinear Boussinesq equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Cites Work

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• Steady-state solutions of the Vlasov-Maxwell system and their stability
• On exact multidimensional solutions of a nonlinear system of reaction-diffusion equations
• Multidimensional exact solutions to the reaction-diffusion system with power-law nonlinear terms
• On exact multidimensional solutions of a nonlinear system of first order partial differential equations
• Functional separable solutions of two classes of nonlinear mathematical physics equations
• Vlasov-Poisson equations for a two-component plasma in a homogeneous magnetic field

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