The symmetries of wave equations on new lattices |
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Authors: | He Yu-Fang Fu Jing-Li and Li Xiao-Wei |
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Institution: | Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; Department of Physics, Shangqiu Teacher College, Shangqiu 476000, China |
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Abstract: | This paper focuses on studying the symmetry of a practical
wave equation on new lattices. It is a new step in that the new
lattice equation is applied to reduce the discrete problem of motion of
an elastic thin homogeneous bar. The equation of motion of the bar can
be changed into a discrete wave equation. With the new lattice
equation, the translational and scaling invariant, not only is the
infinitesimal transformation given, but the symmetry and Lie
algebras are also calculated. We also give a new form of invariant called
the ratio invariant, which can reduce the process of the computing
invariant with the characteristic equation. |
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Keywords: | new lattice equation symmetry discrete wave equation invariant |
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