| 广义KP-BBM方程的相似、约化、精确解及守恒律 |
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| 引用本文： | 刘 勇,刘希强. 广义KP-BBM方程的相似、约化、精确解及守恒律[J]. 井冈山大学学报(自然科学版), 2014, 0(1): 1-7 |
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| 作者姓名： | 刘 勇 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 |
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| 基金项目： | 国家自然科学基金委员会.中国工程物理研究院联合基金项目（11076015） |
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| 摘 要： | 利用经典李群方法对(2+1)维GKP-BBM方程对称和约化,借助三个辅助方程得到了许多的精确解,并且给出GKP-BBM方程的守恒定律。
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| 关 键 词： | 李群方法 gkp-bbm方程 精确解 对称约化 守恒律 |
SYMMETRY REDUCTIONS,EXACT SOLUTIONS AND CONSERVATION LAWS OF THE GENERALIZED KADOMTSOV-PETVIASHVILI-BENJAMIN-BONAMAHONY EQUATION |
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| LIU Yong,LIU Xi-qiang. SYMMETRY REDUCTIONS,EXACT SOLUTIONS AND CONSERVATION LAWS OF THE GENERALIZED KADOMTSOV-PETVIASHVILI-BENJAMIN-BONAMAHONY EQUATION[J]. Journal of Jinggangshan University(Natural Sciences Edition), 2014, 0(1): 1-7 |
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| Authors: | LIU Yong LIU Xi-qiang |
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| Affiliation: | (School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, China) |
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| Abstract: | Based on the classical Lie group method, we find the classical symmetry and reductions of （2＋1）-dimensional GKP-BBM equation. Some new solutions of the solutions should be derived by applying three auxiliary equations. Furthermore, we give the conservation laws of the GKP-BBM equation. |
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| Keywords: | Lie group method GKP-BBM equation exact solutions symmetry reduction conservation laws |
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