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On gauge equivalent integrable systems andr-matrices for AKNS hierarchy and a coupled MKdV hierarchy

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Abstract

The new coupled MKdV hierarchy is obtained. By using gauge transformation, the constrained flow, the integrable system and Lax representation for the coupled MKdV hierarchy were first constructed from the AKNS hierarchy and then using the Lax representation, the r-matrix for the constrained flow of the coupled MKdV hierarchy was constructed. The second set of conserved integrals of this constrained flow and their involutivity were also given.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Shijiazhuang Railway Institute, 050043, Shijiazhuang, P.R. China

    Liu Xiang-lin, Chen Qing-hui & Zhang Bao-cai

Authors
  1. Liu Xiang-lin
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  2. Chen Qing-hui
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  3. Zhang Bao-cai
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Additional information

Communicated by WANG Bao

Biography: LIU Xiang-lin (1966-), Associate Professor (E-mail: zhangbc@sjzri.edu.cn)

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Xiang-lin, L., Qing-hui, C. & Bao-cai, Z. On gauge equivalent integrable systems andr-matrices for AKNS hierarchy and a coupled MKdV hierarchy. Appl Math Mech 24, 863–870 (2003). https://doi.org/10.1007/BF02437819

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  • DOI: https://doi.org/10.1007/BF02437819

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