| 偏微分方程(组)的高次特征函数与高次守恒律 |
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| 引用本文： | 银山,特木尔朝鲁.偏微分方程(组)的高次特征函数与高次守恒律[J].内蒙古大学学报(自然科学版),2011,42(2):127-132. |
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| 作者姓名： | 银山 特木尔朝鲁 |
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| 作者单位： | 1. 内蒙古工业大学理学院,呼和浩特,010051
2. 上海海事大学文理学院,上海,200135 |
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| 基金项目： | 国家自然科学基金项目(No.11071159); 国家教育部博士点基金项目(No.20070128001); 上海教育委员会科学研究创新项目(No.09YZ239); 内蒙古自治区自然科学基金(No.210MS0115); 内蒙古工业大学科学研究资助项目(No.X200935) |
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| 摘 要： | 将偏微分方程(组)的特征函数与守恒律的概念推广到高次特征函数与守恒律的概念.与此同时给出高次特征函数与高次守恒律的计算公式.
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| 关 键 词： | 偏微分方程(组) 高次特征函数 高次守恒律 |
Higher Order Characteristic Functions and Higher Order Conservation Laws of Partial Differential Equations |
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| YIN Shan,Temuer Chaolu.Higher Order Characteristic Functions and Higher Order Conservation Laws of Partial Differential Equations[J].Acta Scientiarum Naturalium Universitatis Neimongol,2011,42(2):127-132. |
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| Authors: | YIN Shan Temuer Chaolu |
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| Institution: | YIN Shan1,Temuer Chaolu2(1.College of Sciences,Inner Mongolia University of Technology,Hohhot 010051,China,2.College of Sciences and Arts,Shanghai Maritime University,Shanghai 200135,China) |
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| Abstract: | The concepts of higher order characteristic functions and higher order conservation laws of partial differential equations are proposed,which are generalization forms of characteristic functions and conservation laws of partial differential equations.And the formulae of calculating the higher order characteristic functions and higher order conservation laws are given. |
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| Keywords: | partial differential equation higher order characteristic function higher order conservation law |
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