| Bogoyavlenskii-Kadontsev-Petviashili方程的新的显式解 |
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| 引用本文： | 张颖元,刘希强,王岗伟.Bogoyavlenskii-Kadontsev-Petviashili方程的新的显式解[J].昆明师范高等专科学校学报,2012(3):55-59. |
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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资助项目（11076015） |
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| 摘 要： | 利用直接对称方法,得到了Bogoyavlenskii-Kadontsev-Petviashili方程的对称约化和一些新的显式解,包括三角函数解、周期解等.并根据修正的CK直接方法的理论和已知解建立了新旧解之间的关系,由此也可得到原方程的某些新的显式解.
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| 关 键 词： | （KP-B）方程 对称 显式解 |
New Explicit Solutions of the Bogoyavlenskii-Kadontsev-Petviashili Equation |
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| ZHANG Ying-yuan,LIU Xi-qiang,WANG Gang-wei.New Explicit Solutions of the Bogoyavlenskii-Kadontsev-Petviashili Equation[J].Journal of Kunming Teachers College,2012(3):55-59. |
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| Authors: | ZHANG Ying-yuan LIU Xi-qiang WANG Gang-wei |
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| Institution: | ( College of Mathematical Science, Liaocheng University, Shandong Liaocheng 252059, China) |
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| Abstract: | By applying a direct symmetry method,the symmetry reductions and some new explicit solutions are obtained for the Bogoyavlenskii-Kadontsev-Petviashili（KP-B） equation,which include trigonometric function solutions,periodic solutions and so on.And by means of the modified CK′s direct method,a relationship is constructed between the new solutions and the old ones of the KP-B equation,hence some new explicit solutions of the original equation are also obtained. |
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| Keywords: | KP - B equation symmetry explicit solutions |
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