| On the Involutive Solutions of Solition Hierarchy |
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| 作者姓名： | 乔志军 |
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| 作者单位： | Dept.of Math，Liaonign University，Shenyang 110036 |
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| 摘 要： | ＯｎｔｈｅＩｎｖｏｌｕｔｉｖｅＳｏｌｕｔｉｏｎｓｏｆＳｏｌｉｔｉｏｎＨｉｅｒａｒｃｈｙ乔志军ＯｎｔｈｅＩｎｖｏｌｕｔｉｖｅＳｏｌｕｔｉｏｎｓｏｆＳｏｌｉｔｉｏｎＨｉｅｒａｒｃｈｙ￥ＱｉａｏＺｈｉｊｕｎ（Ｄｅｐｔ．ｏｆＭａｔｈ，ＬｉａｏｎｉｇｎＵｎｉｖ...
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On the Involutive Solutions of Solition Hierarchy |
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| Qiao Zhijun.On the Involutive Solutions of Solition Hierarchy[J].Chinese Quarterly Journal of Mathematics,1994(2). |
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| Authors: | Qiao Zhijun |
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| Abstract: | The involutive solutions of soliton hierarchy are given in this paper. Through the nonlinearization of the lax system for solition hierarchy,it is proven that the involutive solution of compatible systems (H) (spetinl part) and (Fm) (time port) is mapped into the soliton of solutinhierarohyby the mapping f which is determined by the constraint relation u=f() between potentials and eisenfunotions. |
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| Keywords: | soliton hierarchy involutive system ivolutive solution |
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