| 发展方程基本解和Hodograph变换 |
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| 引用本文： | 康静. 发展方程基本解和Hodograph变换[J]. 兰州大学学报(自然科学版), 2011, 47(5): 94-98,108 |
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| 作者姓名： | 康静 |
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| 作者单位： | 西北大学数学系现代物理研究所,西安,710069 |
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| 基金项目： | 国家自然科学基金青年项目(11001220); 西北大学科研基金项目(NO09NW20) |
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| 摘 要： | 研究了一类二阶非线性发展方程及方程组柯西问题.这一类方程和方程组可以通过点变换形式的Hodograph变换线性化,利用相应线性方程(组)基本解及Hodograph变换可以求出非线性方程柯西问题的精确解.
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| 关 键 词： | 发展方程 柯西问题 基本解 Hodograph变换 |
Fundamental solutions and Hodograph transformations of evolution equations |
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| KANG Jing. Fundamental solutions and Hodograph transformations of evolution equations[J]. Journal of Lanzhou University(Natural Science), 2011, 47(5): 94-98,108 |
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| Authors: | KANG Jing |
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| Affiliation: | KANG Jing Institute of Engineering Thermophysics,Department of Mathematics,Northwest University,Xi'an 710069,China |
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| Abstract: | Cauchy problems of some nonlinear scalar systems of evolution partial differential equations that can be linearized through Hodograph transformations were studied,and they could be solved explicitly by hodograph transformations and fundamental solutions of the corresponding linear equations. |
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| Keywords: | evolution equation Cauchy problem fundamental solution Hodograph transformation |
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