| Exact Dark Soliton and Its Persistence in the Perturbed2+1-dimensional Davey-Stewartson System |
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| 作者姓名： | Jibin Li |
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| 作者单位： | [1]Dept. of Math., Zhejiang Nodal University, Jinhua 321004, Zhejiang [2]School of Science, Kunming University of Science and Technology, Kunming 650093 |
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| 基金项目： | This research was supported by the National Natural Science Foundation of China （10831003）. |
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| 摘 要： | For the Davey-Stewartson system, the exact dark solitary wave solutions, solitary wave solutions, kink wave solution and periodic wave solutions are studied. To guarantee the existence of the above solutions, all parameter conditions are determined. The persistence of dark solitary wave solutions to the perturbed Davey-Stewartson system is proved.
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| 关 键 词： | 持久性 系统 暗孤子 摄动 孤立波解 解的存在性 周期波解 戴维 |
EXACT DARK SOLITON AND ITS PERSISTENCE IN THE PERTURBED （2＋1）-DIMENSIONAL DAVEY-STEWARTSON SYSTEM |
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| Jibin,Li.Exact Dark Soliton and Its Persistence in the Perturbed2+1-dimensional Davey-Stewartson System[J].微分方程年刊(英文版),2014(1):15-32. |
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| Authors: | Jibin Li Dept of Math Zhejiang Normal University Jinhua Zhejiang; |
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| Institution: | School of Science, Kunming University of Science and Technology, Kunming 650093, E-mail： jibinli@gmail.com or lijb@zjnu.cn) |
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| Abstract: | Davey-Stewartson system singular traveling wave equation dark solitary wave solution kink wave solution periodic wave solution exact explicit solution |
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| Keywords: | Davey-Stewartson system singular traveling wave equation dark solitary wave solution kink wave solution periodic wave solution exact explicit solution |
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