| 耦合Burgers方程的CTE可积性及精确解 |
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| 引用本文： | 李玉娟,胡恒春.耦合Burgers方程的CTE可积性及精确解[J].上海理工大学学报,2016,38(6):517-522. |
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| 作者姓名： | 李玉娟 胡恒春 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093,上海理工大学 理学院, 上海 200093;德克萨斯大学大河谷分校 数学系, 爱丁堡 TX 78539 |
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| 基金项目： | 上海市自然科学基金资助项目（10ZR1420800）；上海市重点学科建设资助项目（XTKX2012）；国家自然科学基金资助项目（11071164，11201302） |
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| 摘 要： | 借助符号计算软件Maple,利用CTE方法验证了耦合Burgers方程的CTE可积性,得到了耦合Burgers方程的孤子和其他波的相互作用解,包括孤子和椭圆余弦波作用解、共振多孤子解、孤子和误差函数波作用解、孤子和有理波作用解、孤子和周期波作用解.最后给出了孤子和椭圆余弦波作用解及共振多孤子解所对应的图形.
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| 关 键 词： | 耦合Burgers方程 CTE方法 相互作用解 |
| 收稿时间： | 2016/5/26 0:00:00 |
CTE Solvability and Exact Solutions of a Coupled Burgers Equation |
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| LI Yujuan and HU Hengchun.CTE Solvability and Exact Solutions of a Coupled Burgers Equation[J].Journal of University of Shanghai For Science and Technology,2016,38(6):517-522. |
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| Authors: | LI Yujuan and HU Hengchun |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China and College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;Department of Mathematics, The University of Texas Rio Grande Valley, Edinburg, TX 78539, USA |
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| Abstract: | With the help of symbolic computation software Maple,by using the CTE method,a coupled Burgers equation was proved to be CTE solvable.Many interaction solutions among solitons and other types of nonlinear excitations of the coupled Burgers equation were obtained,which include soliton-cnoidal waves,multiple resonant solutions,soliton-error function waves,soliton-rational waves,and soliton-periodic waves.The corresponding graphs of the soliton-cnoidal waves and multiple resonant solutions were presented. |
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| Keywords: | coupled Burgers equation CTE method interaction solutions |
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