| (3+1)维potential-YTSF方程的对称约化、精确解和守恒律 |
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| 引用本文： | 杨飞,刘希强. (3+1)维potential-YTSF方程的对称约化、精确解和守恒律[J]. 井冈山大学学报(自然科学版), 2017, 0(5): 1-7 |
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| 作者姓名： | 杨飞 刘希强 |
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| 作者单位： | 聊城大学数学科学学院, 山东, 聊城 252059,聊城大学数学科学学院, 山东, 聊城 252059 |
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| 基金项目： | 国家自然科学基金与中国工程物理研究院基金项目（11076015） |
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| 摘 要： | 利用直接约化方法得到了(3+1)维potential-YTSF方程的对称,获得了相应的约化方程,并求出其精确解。所得结果推广了已有文献中该方程的有关结果。利用得到的对称,求出了方程的守恒律。
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| 关 键 词： | 对称 约化 (3+1)维potential-YTSF方程 精确解 守恒律 |
| 收稿时间： | 2017-06-08 |
| 修稿时间： | 2017-06-24 |
SYMMETRY REDUCTION AND EXACT SOLUTIONS AND THE CONSERVATION LAW OF (3+1)-DIMENSIONAL POTENTIAL-YTSF EQUATION |
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| YANG Fei and LIU Xi-qiang. SYMMETRY REDUCTION AND EXACT SOLUTIONS AND THE CONSERVATION LAW OF (3+1)-DIMENSIONAL POTENTIAL-YTSF EQUATION[J]. Journal of Jinggangshan University(Natural Sciences Edition), 2017, 0(5): 1-7 |
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| Authors: | YANG Fei and LIU Xi-qiang |
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| Affiliation: | School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, China and School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, China |
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| Abstract: | The symmetry of (3+1)-dimensional potential-YTSF equation was gotten by using the direct reduction method. Furthermore, we obtain the corresponding reduced equations and find out the exact solutions. The acquired results generalize the existing literature about the result of the equation. The conservation law of the equation can be calculated by using symmetry. |
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| Keywords: | symmetry reduction (3+1)-dimensional potential-YTSF equation exact solutions law of conservation |
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