Conservation laws and exact solutions with symmetry reduction of nonlinear reaction diffusion equations

DOI10.1515/ijnsns-2014-0098zbMath1401.35005OpenAlexW2565660872MaRDI QIDQ1657420

Arzu Yakut, Filiz Tascan

Publication date: 13 August 2018

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2014-0098

zbMATH Keywords

conservation lawspoint symmetriesnonlinear reaction diffusion equation

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30)

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Cites Work

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• On some new conservation laws of a nonlinear reaction-diffusion equation
• Conservation laws for a class of soil water equations
• Soil water redistribution and extraction flow models: conservation laws
• Relationship between symmetries and conservation laws
• Symmetries and exact solutions via conservation laws for some partial differential equations of mathematical physics
• Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetries and differential equations

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