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Double Darboux Transformation for AKNS hierarchy

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Abstract

In this paper we construct a double Darboux Transformation for AKNS hierarchy and give its decomposition theorem. A remarkable characteristic of the double Darboux Transformation — incommutativity is proved.

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References

  1. Li Yishen. Gu Xinshen and Zou Maorong, Three kinds of Darboux transformations for the evolution equations which are connected with AKNS eigenvalue problem,Acta Mathematica Sinica, New Series,3(1987), 143–151.

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  2. Gu Xinshen,L—degree Darboux transformation for the evolution equations which are associated with AKNS eigenvalue problem,Ann. of Diff. Eqs.,3(1987), 13–37.

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Authors and Affiliations

  1. Department of Mathematics, University of Science and Technology of China, China

    Gu Xinshen

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  1. Gu Xinshen
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The Project Supported by National Natural Science Foundation of China.

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Xinshen, G. Double Darboux Transformation for AKNS hierarchy. Acta Mathematica Sinica 6, 273–288 (1990). https://doi.org/10.1007/BF02108205

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  • DOI: https://doi.org/10.1007/BF02108205

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