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Symmetry Groups and Exact Solutions of a (3+1)-dimensional Nonlinear Evolution Equation and Maccari’s System
symmetry group (3+1)-dimensional nonlin ear evolution equation Maccari’s system
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2012/9/25
Based on the generalized symmetry group method and symbolic computation, both the Lie point groups and the non-Lie symmetry groups of a (3+1)-dimensional nonlinear evolution equation as well as the Ma...
Chaotic Transport in the Symmetry Crossover Regime with a Spin-orbit Interaction
Gaussian Symplectic Ensemble chaotic quantum transport Gaussian Orthogonal Ensemble
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2010/4/6
We study a chaotic quantum transport in the presence of a weak spin-orbit interaction. Our theory covers the whole symmetry crossover regime between time-reversal invariant systems with and without a ...
Emergence from Symmetry: A New Type of Cellular Automata
Cellular Automata universal computation
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2010/4/2
In this paper, a different perspective of constructing the CA models is proposed. The kernel, Local Symmetric Distribution Principle, relates some fundamental concepts in physics, which maybe raise a ...
Symmetry Analysis of 2+1 dimensional Burgers equation with variable damping
2+1 dimensional Burgers equation variable coefficient
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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
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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...
Bogoliubov Renormalization Group and Symmetry of Solution in Mathematical Physics
Bogoliubov Renormalization Group Mathematical Physics
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2010/11/2
Evolution of the concept known in the theoretical physics as the Renormalization Group (RG) is presented. The corresponding symmetry, that has been first introduced in QFT in mid-fifties, is a contin...