On Linearizing Systems of Diffusion Equations
Copyright policy )On Linearizing Systems of Diffusion Equations
We consider systems of diffusion equations that have considerable interest in Soil Science and Mathematical Biology and focus upon the problem of finding those forms of this class that can be linearized. In particular we use the equivalence transformations of the second generation potential system to derive forms of this system that can be linearized. In turn, these transformations lead to nonlocal mappings that linearize the original system.
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
- UNSW Sydney Australia
- University of South Wales United Kingdom
- University of Cyprus Cyprus
Nonlinear Sciences - Exactly Solvable and Integrable Systems, equivalence transformations, Linearization, FOS: Physical sciences, linearization, Mathematical Physics (math-ph), Equivalence transformations, diffusion equations, Reaction-diffusion equations, Transform methods (e.g., integral transforms) applied to PDEs, QA1-939, Exactly Solvable and Integrable Systems (nlin.SI), Mathematics, General biology and biomathematics, Mathematical Physics, Diffusion equations, Geometric theory, characteristics, transformations in context of PDEs
Nonlinear Sciences - Exactly Solvable and Integrable Systems, equivalence transformations, Linearization, FOS: Physical sciences, linearization, Mathematical Physics (math-ph), Equivalence transformations, diffusion equations, Reaction-diffusion equations, Transform methods (e.g., integral transforms) applied to PDEs, QA1-939, Exactly Solvable and Integrable Systems (nlin.SI), Mathematics, General biology and biomathematics, Mathematical Physics, Diffusion equations, Geometric theory, characteristics, transformations in context of PDEs
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!