| THE GENERAL SCHEME FOR HIGHER－ORDER DECOMPOSITIONS OF ZERO－CURVATURE EQUATIONS ASSOCIATED WITH■（2） |
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| 引用本文： | 曾云波,李翊神.THE GENERAL SCHEME FOR HIGHER－ORDER DECOMPOSITIONS OF ZERO－CURVATURE EQUATIONS ASSOCIATED WITH■（2）[J].应用数学学报(英文版),1996(4). |
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| 作者姓名： | 曾云波 李翊神 |
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| 作者单位： | ZENG YUNBO (Deportment of Applied Mathematics，Tsinghua University，Beijing 100084，China)LI YISHEN (Deportment of Mathematics，University of Science and Technology of China，Hefei 230026，China) |
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| 摘 要： | ＴＨＥＧＥＮＥＲＡＬＳＣＨＥＭＥＦＯＲＨＩＧＨＥＲ－ＯＲＤＥＲＤＥＣＯＭＰＯＳＩＴＩＯＮＳＯＦＺＥＲＯ－ＣＵＲＶＡＴＵＲＥＥＱＵＡＴＩＯＮＳＡＳＳＯＣＩＡＴＥＤＷＩＴＨ■（２）￥ＺＥＮＧＹＵＮＢＯ（曾云波）（ＤｅｐｏｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａ...
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THE GENERAL SCHEME FOR HIGHER-ORDER DECOMPOSITIONS OF ZERO-CURVATURE EQUATIONS ASSOCIATED WITH(2) |
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| ZENG YUNBO.THE GENERAL SCHEME FOR HIGHER-ORDER DECOMPOSITIONS OF ZERO-CURVATURE EQUATIONS ASSOCIATED WITH(2)[J].Acta Mathematicae Applicatae Sinica,1996(4). |
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| Authors: | ZENG YUNBO |
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| Abstract: | Within the framework of zero-curvature representation theory, the decompositions of eachequation in a hierarchy of zero-curvature equations associated with loop algebra 81(2) by meansof higher-order constraints on potential are given a unified treatment, and the general schemeand uniform formulas for the decompositions are proposed. This provides a method of separationof variables to solve a hierarchy of (1 1)-dimensional integrable systems. TO illustrate the general scheme, new higher-order decompositions of two hierarchies of zero-curvature equations arepresented. |
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| Keywords: | Higher-order constraints decomposition zero-curvature representation separation of variables |
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