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The new integrable system of the complex form and the coupled mkdv hierarchy

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Abstract

In this paper, the new coupled MKdV hierarchy and their Lax pairs are obtained. Through introducing a suitable complex form of symplectic structure [5,8], a new integrable system of the complex form in the Liouville sense is generated. Moreover, the representations of the solution for the coupled MKdV hierarchy are given by the involutive solutions of the commutable flow [3].

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Authors and Affiliations

  1. Shijiazhuang Railway Institute, 050043, Shijiazhuang

    Chen Qinghui & Zhang Baocai

Authors
  1. Chen Qinghui
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  2. Zhang Baocai
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1991 MR Subject Classification:35Q55.

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Qinghui, C., Baocai, Z. The new integrable system of the complex form and the coupled mkdv hierarchy. Appl. Math. Chin. Univ. 12, 61–66 (1997). https://doi.org/10.1007/s11766-997-0007-x

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  • DOI: https://doi.org/10.1007/s11766-997-0007-x

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