| 一族孤子方程的无穷守恒律 |
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| 引用本文： | 穆扬眉,郭东林.一族孤子方程的无穷守恒律[J].阜阳师范学院学报(自然科学版),2011,28(1):11-13. |
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| 作者姓名： | 穆扬眉 郭东林 |
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| 作者单位： | 商丘师范学院数学系,河南,商丘,476000 |
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| 摘 要： | 从一个2×2谱问题出发,导出了一族(1+1)维孤子方程.由Lax对获得谱问题对应的Riccati方程组,利用方程组中两方程的相容性得到该等谱方程族的无穷多个守恒律.
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| 关 键 词： | 谱 孤子方程 Lax对 无穷守恒律 |
The infinite conservation laws of a soliton hierarchy |
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| MU Yang-mei,GUO Dong-lin.The infinite conservation laws of a soliton hierarchy[J].Journal of Fuyang Teachers College:Natural Science,2011,28(1):11-13. |
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| Authors: | MU Yang-mei GUO Dong-lin |
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| Institution: | (Department of Mathematics,Shangqiu Teachers College,Shangqiu Henan,476000,China) |
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| Abstract: | Based on a 2×2 spectral problem,an 1+1 dimensional soliton hierarchy is presented.And the riccati equations are got according to the Lax pairs.Then,an infinite number of conservation laws of the isospectral soliton hierarchy are deduced with the help of the compatibility of riccati equations. |
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| Keywords: | spectral problem soliton equation Lax pair infinite conservation laws |
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