SYMMETRY ANALYSIS, EXACT SOLUTIONS AND POWER SERIES SOLUTIONS OF DISSIPATIVE HYPERBOLIC GEOMETRY FLOW

DOI10.17654/DE020010017zbMath1427.58011OpenAlexW2917737134WikidataQ115234600 ScholiaQ115234600MaRDI QIDQ5204543

Yao Zhang, Ben Gao

Publication date: 4 December 2019

Published in: Advances in Differential Equations and Control Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/de020010017

zbMATH Keywords

symmetry reductionpower series solutionsoptimal systemdissipative hyperbolic geometric flow

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Analysis on other specific Lie groups (43A80) Hyperbolic equations on manifolds (58J45) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Cites Work

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• Hyperbolic geometric flow. I: Short-time existence and nonlinear stability
• Symmetries of integro-differential equations. With applications in mechanics and plasma physics
• Dissipative hyperbolic geometric flow
• Symmetry and integration methods for differential equations
• Wave character of metrics and hyperbolic geometric flow
• The Hyperbolic Geometric Flow on Riemann Surfaces
• Symmetry analysis and explicit power series solutions of the Boussinesq–Whitham–Broer–Kaup equation
• Symmetries and differential equations

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