Investigating symmetries and conservation laws of PDEs and systems
محورهای موضوعی : Geometry
1 - School of Mathematics, Iran University of Science and Technology, Narmak-16, Tehran, Iran
کلید واژه: Approximate symmetry, generalized symmetry, Hamiltonian symmetry, $\mu$-symmetry, conservation law,
چکیده مقاله :
The main purpose of this article is to investigate some special kinds of symmetries and conservation laws of some partial differential equations (PDEs) and systems which play a significant role in physics. In fact, we review Lie point symmetry, approximate and generalized symmetry, Hamiltonian symmetry, $\mu$-symmetry and different approaches for evaluating conservation laws of PDEs and systems. Additionally, we discuss the effect of the change of variables on the bi-Hamiltonian structure of some equations and obtain the corresponding Hamiltonian formalism of the transformed equation.
The main purpose of this article is to investigate some special kinds of symmetries and conservation laws of some partial differential equations (PDEs) and systems which play a significant role in physics. In fact, we review Lie point symmetry, approximate and generalized symmetry, Hamiltonian symmetry, $\mu$-symmetry and different approaches for evaluating conservation laws of PDEs and systems. Additionally, we discuss the effect of the change of variables on the bi-Hamiltonian structure of some equations and obtain the corresponding Hamiltonian formalism of the transformed equation.
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