| 耦合 mKdV系统的非奇异正子解、负子解及复子解 |
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| 引用本文： | 张玲,桑本文,胡恒春. 耦合 mKdV系统的非奇异正子解、负子解及复子解[J]. 上海理工大学学报, 2012, 34(1): 76-80,87 |
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| 作者姓名： | 张玲 桑本文 胡恒春 |
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| 作者单位： | 上海理工大学理学院,上海,200093 |
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| 基金项目： | 上海市重点学科建设资助项目，国家自然科学基金 |
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| 摘 要： | 研究从二层流体模型中导出的变系数耦合mKdV模型,利用达布变换法,并依据系统中Lax对的谱参数的性质,给出了耦合mKdV系统的正子解、负子解、复子解及这些解的具体结构图形.其中所得到的耦合mKdV系统的正子解、负子解和复子解都是解析的,而复子解可看作一种形式的周期波解.
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| 关 键 词： | 正子解 负子解 复子解 耦合KdV系统 |
New Nonsingular Positon,Negaton and Complexiton Solutions of a Special Coupled mKdV System |
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| ZHANG Ling,SANG Ben wen and HU Heng chun. New Nonsingular Positon,Negaton and Complexiton Solutions of a Special Coupled mKdV System[J]. Journal of University of Shanghai For Science and Technology, 2012, 34(1): 76-80,87 |
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| Authors: | ZHANG Ling SANG Ben wen HU Heng chun |
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| Affiliation: | (College of Science.University of Shanghai for Science and Technology,Shanghai 200093,China) |
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| Abstract: | New positon,negaton and complexiton solutions of a special coupled mKdV system, which derived from a two-layer fluid model,were constructed by means of Darboux transformation. It means that with different general parameters,different types of solutions and the structures of the solutions can be obtained.All the solutions presented are analytical,and the complexiton solution is a periodic wave solution. |
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| Keywords: | positon negaton complexiton coupled mKdV system |
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