Investigating symmetries and conservation laws of PDEs and systems
الموضوعات :
1 - School of Mathematics, Iran University of Science and Technology, Narmak-16, Tehran, Iran
الکلمات المفتاحية: Approximate symmetry, generalized symmetry, Hamiltonian symmetry, $\mu$-symmetry, conservation law,
ملخص المقالة :
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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