| 广义Ito方程组的对称和新的显式解 |
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| 引用本文： | 张颖元,刘希强,王岗伟.广义Ito方程组的对称和新的显式解[J].河南科技大学学报(自然科学版),2012,33(3):61-65,113. |
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| 作者姓名： | 张颖元 刘希强 王岗伟 |
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| 作者单位： | 聊城大学数学科学学院,山东聊城,252059 |
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| 基金项目： | 国家自然科学基金和中国工程物理研究院联合基金 |
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| 摘 要： | 通过利用修正的CK直接方法,建立了广义Ito(GIto)方程组的新旧解之间的关系。基于这种关系,得到了GIto方程组的对称。同时,根据对称得到了方程组的相似约化和一些新的显式解。
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| 关 键 词： | 广义Ito方程组 修正的CK直接方法 对称 显式解 |
Symmetry and New Explicit Solutions of Generalized Ito Equations |
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| ZHANG Ying-Yuan,LIU Xi-Qiang,WANG Gang-Wei.Symmetry and New Explicit Solutions of Generalized Ito Equations[J].Journal of Henan University of Science & Technology:Natural Science,2012,33(3):61-65,113. |
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| Authors: | ZHANG Ying-Yuan LIU Xi-Qiang WANG Gang-Wei |
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| Institution: | (School of Mathematical Science,Liaocheng University,Liaocheng 252059,China) |
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| Abstract: | By using the modified CK direct method,the relationship is derived between the new solutions and the old ones of the GIto equations.Based on the relationship,the symmetry of the GIto equations is obtained.At the same time,the similarity reductions and some new explicit solutions are also presented. |
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| Keywords: | GIto equations Modified CK direct method Symmetry Explicit solutions |
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