| (3+1)-维非线性发展方程新的精确解和守恒律 |
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| 引用本文： | 高洁,刘希强,郭美玉. (3+1)-维非线性发展方程新的精确解和守恒律[J]. 量子电子学报, 2009, 26(1): 16-22. DOI: 10.3969/j.issn.1007-5461.2009.01.003 |
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| 作者姓名： | 高洁 刘希强 郭美玉 |
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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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| 摘 要： | 利用改进的CK直接方法,求出了(3+1)-维非线性发展方程的一般对称群、李对称及其对应的向量场,建立了方程新旧解之间的关系,同时由旧解得到了方程的许多新的精确解.由于对称和守恒律之间有密切的关系,同时找到了此方程的无穷多守恒律.
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| 关 键 词： | 非线性发展方程 精确解 对称群 守恒律 |
| 收稿时间： | 2008-04-11 |
New exact solutions and conservation laws to a(3+1)-dimensional nonlinear evolution equation |
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| GAO Jie,LIU Xi-qiang,GUO Mei-yu. New exact solutions and conservation laws to a(3+1)-dimensional nonlinear evolution equation[J]. Chinese Journal of Quantum Electronics, 2009, 26(1): 16-22. DOI: 10.3969/j.issn.1007-5461.2009.01.003 |
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| Authors: | GAO Jie LIU Xi-qiang GUO Mei-yu |
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| Affiliation: | GAO Jie,LIU Xi-qiang,GUO Mei-yu (School of Mathematical Science,Liaocheng University,Liaocheng 252059,China) |
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| Abstract: | Using the modified CK's direct method, general symmetry group, Lie symmetries and corresponding vector fields of a (3+1)-dimensional nonlinear evolution equation are obtained. The relationship between new solutions and old ones of the (3+1)-dimensional nonlinear evolution equation is built by applying the results. 80me new exact solutions of the (3+1 )-dimensional nonlinear evolution equation are obtained. As for the close relationship between symmetries and conservation laws, the infinite conservation laws of the (3+1)-dimensional nonlinear evolution equation are found. |
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| Keywords: | nonlinear evolution equationi exact solutionsi symmetry groupsi conservation laws |
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