| 新的双曲函数有理展开法和符号计算构造差分mkdv的孤波解 |
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| 引用本文： | 赵雪芹,孟东元,张鸿庆.新的双曲函数有理展开法和符号计算构造差分mkdv的孤波解[J].数学研究及应用,2008,28(4):945-950. |
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| 作者姓名： | 赵雪芹 孟东元 张鸿庆 |
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| 作者单位： | 曲阜师范大学数学科学院, 山东 曲阜 273165; 大连理工大学应用数学系, 辽宁 大连 116024;青岛理工大学理学院, 山东 青岛 210016;大连理工大学应用数学系, 辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金(No.10771118). |
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| 摘 要： | 本文通过利用一个广泛的题设提出一种推广的双曲函数展开法, 并利用此方法求解了 离散的 mKdV 方程, 获得了丰富的显式精确解. 此方法可以用于求其他非线性系统的精确解.
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| 关 键 词： | 扩展的双曲函数展开法 孤波解. |
| 收稿时间： | 2006/3/29 0:00:00 |
| 修稿时间： | 2007/5/23 0:00:00 |
Extended Hyperbolic Function Rational Expansion Algorithm with Symbolic Computation to Construct Solitary Wave Solutions of Discrete mKdV Lattice |
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| ZHAO Xue Qin,MENG Dong Yuan and ZHANG Hong Qing.Extended Hyperbolic Function Rational Expansion Algorithm with Symbolic Computation to Construct Solitary Wave Solutions of Discrete mKdV Lattice[J].Journal of Mathematical Research with Applications,2008,28(4):945-950. |
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| Authors: | ZHAO Xue Qin MENG Dong Yuan and ZHANG Hong Qing |
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| Institution: | Department of Mathematics, Qufu Normal University, Shandong 273165, China; Department of Applied Mathematics, Dalian University of Technology, Liaoning 116024, China;College of Science, Qingdao University of Technology, Shandong 210016, China;Department of Applied Mathematics, Dalian University of Technology, Liaoning 116024, China |
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| Abstract: | With the aid of Maple, the extended hyperbolic function rational expansion method is used to construct explicit and exact travelling solutions for the discrete mKdV lattice. As a result, many solutions are obained which include kink-shaped solitary wave solutions, bell-shaped solitary wave solutions and singular solitary wave solutions. |
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| Keywords: | The discrete mKdV lattice Hyperbolic function expansion method Solitary wave solution |
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