On periodic solutions of a nonlinear reaction-diffusion system

DOI10.26516/1997-7670.2018.26.35zbMath1409.35116OpenAlexW2905173469WikidataQ128707113 ScholiaQ128707113MaRDI QIDQ1717120

Alexander Arkad'evich Kosov, Edward Ivanovich Semenov

Publication date: 7 February 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=1280

zbMATH Keywords

periodic solutionsreaction-diffusion systemexact solutionsJacobi elliptic functionsreduction to a system of odes

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57)

Cites Work

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• Nonlinear reaction-diffusion systems with variable diffusivities: Lie symmetries, ansätze and exact solutions
• Evolution equations and Lagrangian coordinates
• Multidimensional exact solutions to the reaction-diffusion system with power-law nonlinear terms
• First Integrals and Periodic Solutions of a System with Power Nonlinearities
• Analysis of reaction-diffusion systems by the method of linear determining equations

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