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/lp/springer-journals/on-symmetries-of-the-heat-equation-RZVNGh11NH
References (2)
-
G. Bluman, S. Kumei (1980)
On the remarkable nonlinear diffusion equation $$(\partial /\partial x)[a(b + u)^{ - 2} (\partial u/\partial x)] - \partial u/\partial t$$J. Math. Phys., 21
-
N. H. Ibragimov (1985)
Transformations Groups Applied to Mathematical Physics
- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/BF00131934
- Publisher site
- See Article on Publisher Site
Abstract
Two aims are pursued in this article. The first one is methodological and consists of demonstrating the symmetry calculation techniques based on the commutation relation on the example of the quasi-linear heat equation. The second one consists of investigating the following open question: is the algebra of higher symmetries of the linear heat equation exhausted by those which may be obtained by means of the classical symmetries and well-known recursion operators? A positive solution of this question is given.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Jun 30, 2004