| 离散修正KdV方程的解析近似解 |
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| 引用本文： | 杨沛,陈勇,李志斌.离散修正KdV方程的解析近似解[J].物理学报,2010,59(6):3668-3673. |
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| 作者姓名： | 杨沛 陈勇 李志斌 |
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| 作者单位： | (1)华东师范大学计算机科学技术系,上海 200241; (2)华东师范大学计算机科学技术系,上海 200241；华东师范大学上海市高可信计算重点实验室，上海 200062; (3)华东师范大学上海市高可信计算重点实验室，上海 200062 |
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| 基金项目： | 国家自然科学基金(批准号:10771072,10735030, 90718041)、上海市重点学科建设基金(批准号:B412)和教育部长江学者和创新团队发展计划(批准号:IRT0734)资助的课题. |
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| 摘 要： | 将同伦分析法进行了推广,使之适用于求解离散修正KdV方程.获得了由指数函数表达的亮孤子解,该解析近似解与精确解符合很好.数值模拟结果说明了同伦分析法对求解复杂非线性问题的有效性和潜力.
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| 关 键 词： | 微分差分方程 同伦分析法 离散修正KdV 方程 孤立波解 |
| 收稿时间： | 7/2/2009 12:00:00 AM |
Analytic approximation for the soliton solution of the discrete modified KdV equation |
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| Yang Pei,Chen Yong,Li Zhi-Bin.Analytic approximation for the soliton solution of the discrete modified KdV equation[J].Acta Physica Sinica,2010,59(6):3668-3673. |
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| Authors: | Yang Pei Chen Yong Li Zhi-Bin |
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| Institution: | Department of Computer Science and Technology, East China Normal University, Shanghai 200241, China;Key Laboratory of Trustworthy Computing of Shanghai, East China Normal University, Shanghai 200062, China;Department of Computer Science and Technology, East China Normal University, Shanghai 200241, China |
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| Abstract: | We extend the homotopy analysis method to solving the discrete modified KdV equation. The bright soliton solution expressed by a series of exponential functions is obtained, which agrees well with the exact solution. It indicates the validity and great potential of the homotopy analysis method in solving complicated nonlinear problems. |
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| Keywords: | differential-difference equation homotopy analysis method discrete modified KdV equation solitary wave solution |
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