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Symmetry analysis and exact solutions of semilinear heat flow in multi-dimensions
Symmetry analysis exact solutions semilinear heat flow in multi-dimensions
2010/11/24
A symmetry group method is used to obtain exact solutions for a semilinear radial heat equation in $n>1$ dimensions with a general power nonlinearity. The method involves an ansatz technique to solve...
Point symmetry group of the barotropic vorticity equation
Point symmetry group barotropic vorticity equation
2010/12/1
The complete point symmetry group of the barotropic vorticity equation on the -plane is computed using the direct method supplemented with two different techniques.
The Unfolding of Equivariant Bifurcation Problems with Two Types of State Variables in the Presence of Parameters Symmetry
equivariant bifurcation problems versal unfolding ${\mathscr K}(\Gamma \Delta)$-equivalence
2007/12/11
The unfolding of equivariant bifurcation problems with two types of state variables under the action of group ${\mathscr K}(\Gamma,\Delta)$ is discussed by using DA-algebraic tools. One of the main re...