| 符号计算与AKNS孤子方程族的自动推导 |
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| 引用本文： | 雷朝铨. 符号计算与AKNS孤子方程族的自动推导[J]. 宁德师专学报(自然科学版), 1999, 0(3) |
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| 作者姓名： | 雷朝铨 |
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| 作者单位： | 宁德师范高等专科学校职教部!福建宁德352100 |
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| 摘 要： | 讨论由Ｌａｘ 对得到的ＡＫＮＳ孤子方程族，求得Ｌａｘ 对对应的Ｌｅｎａｒｄ 递推方程的显式解，进而利用符号计算技术自动推导出显式孤子方程族，并给出用Ｍａｔｈｅｍａｔｉｃａ 数学软件编写的符号计算程序．
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| 关 键 词： | 符号计算 孤子方程 Lax表示 |
Symbolic Computation and Automatic Deriving of AKNS Soliton Equation Hierarchy |
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| Lei Chaoquan. Symbolic Computation and Automatic Deriving of AKNS Soliton Equation Hierarchy[J]. Journal of Ningde Teachers College(Natural Science), 1999, 0(3) |
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| Authors: | Lei Chaoquan |
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| Abstract: | This paper studies the AKNS soliton hierarchy derived from its Lax pair.The explicit solutions to the Lenard's equation corresponding to the Lax pair are obtained.The technology of symbolic computation is applied to derive automatically the soliton hicrarchy of explicit form.In the end,the program of symbolic computation written in Mathematica language is presented. |
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| Keywords: | symbolic computation soliton equation Lax representation |
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