| (1+1)维积分微分 Ito方程的精确行波解 |
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| 引用本文： | 宋佳谦,刘小华,郑任翔.(1+1)维积分微分 Ito方程的精确行波解[J].云南民族大学学报(自然科学版),2019(2):138-143. |
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| 作者姓名： | 宋佳谦 刘小华 郑任翔 |
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| 作者单位： | 贵州民族大学数据科学与信息工程学院 |
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| 摘 要： | 利用平面动力系统理论和方法对Ito方程等价的平面动力系统进行定性分析,得出Ito方程存在2个钟状孤波解和若干个有界行波解.借助辅助方程法给出了Ito方程的2个钟状孤波解和若干有界行波解的精确表达式,并且这些精确解的显式表达式是首次被得到,以往文献中的结果可以作为文中精确解的推论.
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| 关 键 词： | Ito方程 行波解 辅助方程法 |
The exact traveling wave solution of the(1+1)dimensional integral differential Ito equation |
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| Institution: | ,School of Data Science and Information Engineering, Guizhou Minzu University |
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| Abstract: | Applying the theory of planar dynamical systems, a qualitative analysis of the traveling wave solutions of Ito equation has been carried out, the existence of two bell solitary wave solutions and infinite bounded traveling wave solutions have been obtained. According to the auxiliary equation method, the explicit expressions of two bell-shaped solitary solutions and some bounded traveling wave solutions have been studied. And these exact solutions are obtained for the first time, while the results of the previous literature can be derived from the conclusions of this paper. |
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| Keywords: | Ito equation traveling wave solution auxiliary equation method |
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