| KdV方程的另一种可积离散化 |
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| 引用本文： | 丁大军.KdV方程的另一种可积离散化[J].广西师范学院学报(自然科学版),2011,28(3):11-13,16. |
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| 作者姓名： | 丁大军 |
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| 作者单位： | 浙江师范大学数理与信息工程学院,浙江金华,321004 |
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| 基金项目： | 国家自然科学基金(11071222) |
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| 摘 要： | 主要讨论了KdV方程基于双线性导数方程的可积离散化，通过双曲算子替换连续意义下的Hirota算子，得到一组离散的方程，利用Hirota小参数扰动方法，并在计算机代数软件Maple的辅助下求解其孤子解，同时可以证明其可积性．
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| 关 键 词： | KdV方程 孤子解 Hirota方法 可积离散化 |
Another Approach of Integrable Discretization to the KdV Equation |
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| DING Da-jun.Another Approach of Integrable Discretization to the KdV Equation[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2011,28(3):11-13,16. |
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| Authors: | DING Da-jun |
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| Institution: | DING Da-jun(Departement of Mathematics,Zhejiang Normal University,Jinhua 321004,P.R.China) |
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| Abstract: | This thesis mainly discusses the integrable discretization of the KdV equation based on its bilinear formalism.By substituting the hyperbolic operator for the continuous Hirota operator,a set of discrete equation can be obtained,then by applying Hirota perturbation method,with the help of Maple,the soliton solution can be attained,meanwhile,the integrable property can be proved. |
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| Keywords: | KdV equation soliton solution Hirota method integrable discretization |
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