Symmetry operators of the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation with a quadratic operator

DOI10.1007/s11182-014-0194-xzbMath1294.81048OpenAlexW2044136093MaRDI QIDQ740449

A. Yu. Trifonov, E. A. Levchenko, Alexander Shapovalov

Publication date: 2 September 2014

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-014-0194-x

zbMATH Keywords

interwining operatornonlinear symmetry operatornonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (4)

Pattern formation in a nonlocal Fisher-Kolmogorov-Petrovsky-Piskunov model and in a nonlocal model of the kinetics of an metal vapor active medium ⋮ Symmetries of the one-dimensional Fokker-Planck-Kolmogorov equation with a nonlocal quadratic nonlinearity ⋮ Influence of the environment on pattern formation in the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov model ⋮ Approximate solutions and symmetry of a two-component nonlocal reaction-diffusion population model of the Fisher-KPP type

Cites Work

• Symmetries of the Fisher-Kolmogorov-Petrovskii-Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation
• The one-dimensional Fisher-Kolmogorov equation with a nonlocal nonlinearity in a semiclassical approximation
• Self-organization analysis for a nonlocal convective Fisher equation
• Applications of symmetry methods to partial differential equations
• The non-local Fisher–KPP equation: travelling waves and steady states
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