1,720,996 research outputs found
Nonclassical symmetries for a class of reaction-diffusion equations: the method of heir-equations
No full textThe nonclassical symmetries method is applied to a class of reaction-diffusion equations with nonlinear source,
i.e. ut = uxx +cux +R(u, x). Several cases are obtained by using suitable solutions of the heir-equations as
described in [M.C. Nucci, Nonclassical symmetries as special solutions of heir-equations, J. Math. Anal. Appl.
279 (2003) 168–179]
Group analysis for M.H.D. equations
No full textGroup properties are investigated for MHD equations. Some exact solutions are derive
Interactive REDUCE programs for calculating Lie point, non-classical, Lie-Bäcklund, and approximate symmetries of differential equations: manual and floppy disk
No full textnon
Quantization of classical mechanics: shall we Lie?
No full textWe propose a Lie-Noether-symmetry solution of two problems that arise with classical quantization: the quantization of higher-order (more than second) Euler-Lagrange ordinary differential equations of classical mechanics and the quantization of any second-order Euler-Lagrange ordinary differential equation that classically comes from a simple linear equation via nonlinear canonical transformations
Using Lie symmetries in epidemiology
No full textLie symmetry method has been and still is successfully applied in
different problems of physics for about a hundred years, but its application in
epidemiology has been rare perhaps because the ordinary differential equations
studied in this field are generally of first-order in contrast with those in physics
which are usually of second-order. Here we exemplify the use of Lie symmetry
method in the study of mathematical models in epidemiology, and show how it
complements the mathematical techniques (qualitative and numerical analysis)
traditionally used
Solution to problem 2005-2: Dirichelet problem for a non-autonomous Bratu equation
No full textnot availabl
Reciprocal auto-Bäcklund transformations via the Möbius group
No full textThe method of generating novel equations by inverse transformation plus change of the dependent variable induced on any singularity manifold equation is proposed. It is shown that the invariance of the singularity manifold equations under the Möbius group leads to reciprocal auto- Bäcklund transformations of these novel equations. The method is illustrated by application to some well-known equations
- …
