| Hodograph变换和可线性化系统的推广 |
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| 引用本文： | 于媛媛,闫荣,张亚敏. Hodograph变换和可线性化系统的推广[J]. 高师理科学刊, 2009, 29(6): 21-24 |
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| 作者姓名： | 于媛媛 闫荣 张亚敏 |
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| 作者单位： | 1. 西北大学,数学系,陕西,西安,710127
2. 西北大学,数学系,陕西,西安,710127;西北大学,非线性研究中心,陕西,西安,710069 |
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| 摘 要： | 利用Hodograph变换交换一阶偏微分方程中自变量和因变量的位置,研究包含多于2个因变量和2个自变量的完全非线性系统和拟线性系统的线性化问题,在已有结果的基础上作了推广,对包含4个因变量和4个自变量的完全非线性系统和拟线性系统的情况进行了讨论.
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| 关 键 词： | Hodograph变换 线性化 可线性化系统 |
The generalization of the Hodograph transformations and linearizable systems |
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| YU Yuan-yuan,YAN Rong,ZHANG Ya-min. The generalization of the Hodograph transformations and linearizable systems[J]. Journal of Science of Teachers＇College and University, 2009, 29(6): 21-24 |
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| Authors: | YU Yuan-yuan YAN Rong ZHANG Ya-min |
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| Abstract: | The linearization problem of genuinely non-linear systems and quasi-linear systems with more than two dependent variables and two independent variables was studied here by using the hodograph transformations.The results obtained by others was generalized here.More attentions was paid to the case of four dependent variables and four independent variables. |
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| Keywords: | Hodograph transformations linearization linearizable systems |
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