| 一类非线性色散Boussinesq方程的隐式孤立波解 |
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| 引用本文： | 江波,韩修静,毕勤胜.一类非线性色散Boussinesq方程的隐式孤立波解[J].物理学报,2010,59(12):8343-8347. |
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| 作者姓名： | 江波 韩修静 毕勤胜 |
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| 作者单位： | (1)江苏大学理学院,镇江 212013; (2)江苏技术师范学院数理学院,常州 213001;江苏大学理学院,镇江 212013 |
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| 基金项目： | 国家自然科学基金(批准号: 10872080)资助的课题. |
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| 摘 要： | 用动力系统分岔方法研究了一类非线性色散Boussinesq方程.在不同的参数条件下,给出了该方程具有隐函数形式的孤立波解的解析表达式.数值模拟进一步验证了所得结果的正确性.
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| 关 键 词： | 非线性色散Boussinesq方程 分岔方法 同宿轨道 隐式孤立波解 |
| 收稿时间： | 2009-11-29 |
| 修稿时间： | 7/8/2010 12:00:00 AM |
Dynamical Systems and Bifurcations of Vector Fields (New York: Springer-Verlag)Implicit solitary wave solutions for a class of nonlinear dispersive Boussinesq equation |
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| Jiang Bo,Hun Xiu-Jing,Bi Qin-Sheng.Dynamical Systems and Bifurcations of Vector Fields (New York: Springer-Verlag)Implicit solitary wave solutions for a class of nonlinear dispersive Boussinesq equation[J].Acta Physica Sinica,2010,59(12):8343-8347. |
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| Authors: | Jiang Bo Hun Xiu-Jing Bi Qin-Sheng |
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| Institution: | College of Mathematics and Physics, Jiangsu Teachers University of Technology, Changzhou 213001, China;Faculty of Science, Jiangsu University, Zhenjiang 212013, China;Faculty of Science, Jiangsu University, Zhenjiang 212013, China;Faculty of Science, Jiangsu University, Zhenjiang 212013, China |
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| Abstract: | By applying the bifurcation method of dynamical systems to a class of nonlinear dispersive Boussinesq equations, the analytic expressions of implicit solitary wave solutions are obtained under different parameter conditions. Numerical simulations are given to show the correctness of our results. |
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| Keywords: | nonlinear dispersive Boussinesq equation bifurcation method homoclinic orbit implicit solitary wave solutions |
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