| Linearization of Systems of Nonlinear Diffusion Equations |
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| 作者姓名： | 康静 屈长征 |
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| 作者单位： | [1]Center for Nonlinear Studies, Northwest University, Xi＇an 710069 [2]Department of Mathematics, Northwest University, Xi＇an 710069 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No 10671156, and the Programme for New Century Excellent Talents in University （NCET-04-0968）. |
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| 摘 要： |
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| 关 键 词： | 线性化系统 非线性扩散 方程式 物理学 |
| 收稿时间： | 2007-4-6 |
| 修稿时间： | 2007-04-06 |
Linearization of Systems of Nonlinear Diffusion Equations |
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| KANG Jing,QU Chang-Zheng.Linearization of Systems of Nonlinear Diffusion Equations[J].Chinese Physics Letters,2007,24(9):2467-2470. |
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| Authors: | KANG Jing QU Chang-Zheng |
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| Affiliation: | Center for Nonlinear Studies, Northwest University, Xi'an 710069Department of Mathematics, Northwest University, Xi'an 710069 |
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| Abstract: | We investigate the linearization of systems of n-component nonlinear diffusion equations; such systems have physical applications in soil science, mathematical biology and invariant curve flows. Equivalence transformations of their auxiliary systems are used to identify the systems that can be linearized. We also provide several examples of systems with two-component equations, and show how to linearize them by nonlocal mappings. |
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| Keywords: | 02 20 Tw 02 30 Jr 44 05 +e 44 10 +i |
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