Lie symmetries and conserved quantities for a two-dimensional nonlinear diffusion equation of concentration |
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| Authors: | Zhao Li Fu Jing-Li and Chen Ben-Yong |
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| Institution: | Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; Institute of Mechanical and Automation Control Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, China |
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| Abstract: | The Lie symmetries and conserved quantities of a
two-dimensional nonlinear diffusion equation of concentration are
considered. Based on the invariance of the two-dimensional nonlinear
diffusion equation of concentration under the infinitesimal
transformation with respect to the generalized coordinates and time,
the determining equations of Lie symmetries are presented. The Lie
groups of transformation and infinitesimal generators of this
equation are obtained. The conserved quantities associated with the
nonlinear diffusion equation of concentration are derived by
integrating the characteristic equations. Also, the solutions of the
two-dimensional nonlinear diffusion equation of concentration can be
obtained. |
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| Keywords: | Lie symmetry conserved quantity nonlinear diffusion
equation of concentration |
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