Nonlocal symmetries of systems of evolution equations

DOI10.1155/2011/456784zbMath1246.35017arXiv0906.3006OpenAlexW1977375597WikidataQ58654837 ScholiaQ58654837MaRDI QIDQ666320

Renat Zhdanov

Publication date: 8 March 2012

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.3006

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items

Symmetries of the Fisher-Kolmogorov-Petrovskii-Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. I: Generalized Ginzburg-Landau equations
• Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. II: Generalized Turing systems
• Use and construction of potential symmetries
• Symmetries and form-preserving transformations of generalised inhomogeneous nonlinear diffusion equations
• Nonclassical potential symmetry generators of differential equations
• On relation between potential and contact symmetries of evolution equations
• New classes of symmetries for partial differential equations
• On the symmetries of evolution equations
• Potential symmetries and direct reduction methods of order two
• Contact symmetries and solutions by reduction of partial differential equations
• Potential symmetries of nonlinear diffusion - convection equations
• Potential symmetries and new solutions of a simplified model for reacting mixtures
• On New Representations of Galilei Groups
• Potential symmetries and solutions by reduction of partial differential equations
• The existence of contact transformations for evolution-type equations
• Group-theoretical framework for potential symmetries of evolution equations
• Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
• Symmetries and differential equations
• On preliminary symmetry classification of nonlinear Schrödinger equations with some applications to Doebner-Goldin models