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Symmetry analysis of reversible Markov chains
Reversible markov chain orbital diagram characteristic vector；the mixture of markov chain an arbitrary number
2015/8/11
We show how to use subgroups of the symmetry group of a reversible Markov chain to give useful bounds on eigenvalues and their multiplicity. We supplement classical representation theoretic tools invo...
Symmetry Analysis of Reversible Markov Chains
Theory of markov chain the tool orbital diagram building
2015/7/8
We show how to use subgroups of the symmetry group of a reversible Markov chain to give useful bounds on eigenvalues and their multiplicity. We supplement classical representation theoretic tools invo...
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...
Symmetry Analysis for a Generalized Kadomtsev-Petviashvili Equation
generalized Kadomtsev-Petviashvili equation Lie algebra arbitrary functions
2010/4/2
A generalized Kadomtsev-Petviashvili equation (GKPE) $(u_t+u u_x + \beta(t)u +\gamma(t)u_{xxx})_x+\sigma(t)u_{yy}\ = \ 0$ is shown to admit an infinite-dimensional Lie group of symmetries when $\bt(t)...
Symmetry Analysis of 2+1 dimensional Burgers equation with variable damping
2+1 dimensional Burgers equation variable coefficient
2010/4/2
The symmetry classification of the two dimensional Burgers equation with variable coefficient is considered. Symmetry algebra is found and a classification of its subalgebras, up to conjugacy, is obta...
Lie symmetry analysis and exact solutions for a variable coefficient Gardner equation arising in arterial mechanics
Lie symmetry analysis arterial mechanics coefficient Gardner equation
2010/4/2
In this paper, a variable-coefficient Gardner equation is considered. By using the classical symmetry analysis method symmetries for this equation are obtained. Then, the generalized Jacobi elliptic f...
Symmetry analysis of three dimensional time independent Schrodinger-Newton equation
Integration Lie algebras Nonlinear Partial Differential Equations
2010/9/10
Schr¨odinger-Newton (SN) equations are modifications of the Schr¨odinger equation proposed by Roger Penrose involved in a gravitationally-induced wave function collapse scheme. In this paper, the thre...