Lie symmetries and conservation laws of a Fisher equation with nonlinear convection term

DOI10.3934/dcdss.2015.8.1331zbMath1332.76045OpenAlexW2525920653MaRDI QIDQ258603

F. Blanchet-Sadri, M. Dambrine

Publication date: 10 March 2016

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2015.8.1331

zbMATH Keywords

conservation lawLie symmetriesfinite memory transportFisher-equation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)

Related Items (5)

Onμ-symmetries,μ-reductions, andμ-conservation laws of Gardner equation ⋮ Differential invariants of a generalized variable-coefficient Gardner equation ⋮ Conservation laws, symmetries, and exact solutions of the classical Burgers-Fisher equation in two dimensions ⋮ Conservation laws and exact solutions of a generalized Benjamin-Bona-Mahony-Burgers equation ⋮ Travelling wave solutions of a one-dimensional viscoelasticity model

Cites Work

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• Weak self-adjointness and conservation laws for a porous medium equation
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• A new conservation theorem
• Self-adjoint sub-classes of generalized thin film equations
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• Nonlinear self-adjointness through differential substitutions
• Memory effects in Fisher equation with nonlinear convection term
• Self-adjointness and conservation laws of a generalized Burgers equation
• Weak self-adjoint differential equations
• Nonlinear self-adjointness and conservation laws
• Exact solutions of Fisher and Burgers equations with finite transport memory
• Direct Construction of Conservation Laws from Field Equations
• Direct construction method for conservation laws of partial differential equations Part II: General treatment
• On Nonlocal Symmetries, Nonlocal Conservation Laws and Nonlocal Transformations of Evolution Equations: Two Linearisable Hierarchies

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