| （3＋1）维Jimbo-Miwa方程的新周期孤立波解 |
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| 引用本文： | 徐桂琼,黄兴中. （3＋1）维Jimbo-Miwa方程的新周期孤立波解[J]. 徐州师范大学学报(自然科学版), 2012, 0(1): 8-13 |
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| 作者姓名： | 徐桂琼 黄兴中 |
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| 作者单位： | 上海大学管理学院;上海大学理学院 |
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| 基金项目： | Research supported by the National Natural Science Foundation of China(10801037) |
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| 摘 要： | 改进和推广了戴正德等提出的构造非线性演化方程周期孤立波解的同宿法,其关键思想是将拟解设定为三角函数和双曲函数的非线性组合形式.以（3＋1）维Jimbo-Miwa方程为例,说明通过改进的同宿法可以获得一系列新的周期孤立波解.此外,利用图形分析了周期孤立波解的特性.
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| 关 键 词： | Jimbo-Miwa方程 双线性形式 周期孤立波 |
New periodic solitary wave solutions forthe(3+1)-dimensional Jimbo-Miwa equation |
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| Xu Guiqiong,Huang Xingzhong. New periodic solitary wave solutions forthe(3+1)-dimensional Jimbo-Miwa equation[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2012, 0(1): 8-13 |
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| Authors: | Xu Guiqiong Huang Xingzhong |
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| Affiliation: | 1.College of Management,Shanghai University,Shanghai 200444,China;2.College of Sciences,Shanghai University,Shanghai 200444,China) |
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| Abstract: | The homoclinic test technique proposed by Dai et al for finding the periodic solitary wave solutions is further improved by expressing the quasi-solution as a nonlinear combination of trigonometric function and hyperbolic function.The effectiveness of the improved method is demonstrated by application to the well known(3+1)-dimensional Jimbo-Miwa equation with physical interest.As a result,a series of new periodic solitary wave solutions are obtained.Additionally,the propagation of the periodic solitary waves is illustrated by using the method of figure analysis. |
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| Keywords: | Jimbo-Miwa equation bilinear form periodic solitary wave |
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