Nonclassical potential symmetries for the Burgers equation
β Scribed by M.L. Gandarias; M.S. Bruzon
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 451 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this paper, we consider a class of generalized diffusion equations which are of great interest in mathematical physics. For some of these equations that model fast diffusion, nonclassical and nonclassical potential symmetries are derived. These symmetries allow us to increase the num
The present paper solves the problem of the group classification of the general Burgers' equation u t ΒΌ f Γ°x; uΓu 2 x ΓΎ gΓ°x; uΓu xx , where f and g are arbitrary smooth functions of the variable x and u, by using Lie method. The paper is one of the few applications of an algebraic approach to the p
We consider the nonclassical symmetry of one-dimensional hyperbolic differential equations of the form is shown that n is an eigenvalue of the matrix M when / i = 0 [Souichi M. Nonclassical symmetry and Riemann invariants. Int J Nonlinear Mech, [in press]]. In this paper, we prove a sufficient cond