Dynamics and exact solutions of non-evolutionary partial differential equations

DOI10.1016/J.DIFGEO.2021.101761zbMath1467.35083OpenAlexW3155931489WikidataQ115354560 ScholiaQ115354560MaRDI QIDQ2034561

Ruslan I. Matviichuk, Alexei G. Kushner

Publication date: 22 June 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2021.101761

zbMATH Keywords

symmetryexact solutionsHelmholtz equationgeometry of differential equationsmixed type equationsfinite-dimensional dynamics

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (2)

Evolutionary systems and flows on solutions spaces of finite type equations ⋮ Lie symmetry analysis, exact solutions, and conservation laws of variable-coefficients Boiti-Leon-Pempinelli equation

Uses Software

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Cites Work

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• Finite-dimensional dynamics for evolutionary equations
• Finite dimensional dynamics for Kolmogorov-Petrovsky-Piskunov equation
• Dynamics of evolutionary PDE systems
• Exact solutions of the Burgers-Huxley equation via dynamics

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