| （2＋1）维非线性发展方程的非经典李点对称和精确解 |
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| 引用本文： | 张颖元,刘希强,王岗伟.（2＋1）维非线性发展方程的非经典李点对称和精确解[J].井冈山大学学报（自然科学版）,2013(2):13-19. |
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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： | Foundation item： Supported by National Natural Science Foundation of China and China Academy of Engineering Physics （NSAF： 11076015）. |
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| 摘 要： | 应用相容性方法和非经典李群方法，得到了（2＋1）维非线性发展方程的非经典李点对称。通过求解非经典对称方程的相应的特征方程组得到了非线性发展方程的非经典相似约化。进而得到了非线性发展方程的新的精确解。
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| 关 键 词： | 非线性发展方程 非经典李点对称 相似约化 精确解 |
NONCLASSICAL LIE POINT SYMMETRY AND EXACT SOLUTIONS OF THE （2＋1）-DIMENSIONAL NONLINEAR EVOLUTION EQUATION |
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| ZHANG Ying-yuan,LIU Xi-qiang,WANG Gang-wei.NONCLASSICAL LIE POINT SYMMETRY AND EXACT SOLUTIONS OF THE （2＋1）-DIMENSIONAL NONLINEAR EVOLUTION EQUATION[J].Journal of Jinggangshan University(Natural Sciences Edition),2013(2):13-19. |
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| Authors: | ZHANG Ying-yuan LIU Xi-qiang WANG Gang-wei |
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| Institution: | (School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, China) |
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| Abstract: | Employing the compatibility method and nonclassical Lie group method, we derive the nonclassical Lie point symmetry of the （2＋l）Mimensional nonlinear evolution equation. Nonclassical similarity reductions of the nonlinear evolution equation are obtained by solving the corresponding characteristic equations associated with nonclassical symmetry equations. Some new exact solutions to this equation are presented. |
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| Keywords: | Nonlinear evolution equation nonclassical Lie point symmetry similarity reductions exact solutions |
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