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A generalized Kaup-Newell spectral problem, soliton equations and finite-dimensional integrable systems

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Il Nuovo Cimento A (1965-1970)

Summary

A generalized Kaup-Newell spectral problem is introduced. This spectral problem corresponds to infinitely many hierarchies of soliton equations. Further two reductions of the generalized Kaup-Newell spectral problem are discussed and two new hierarchies of associated soliton equations are derived. Through non-linearization of two reductive spectral problems, two new finite-dimensional integrable systems are engendered, which possess non-confocal involutive integrals of motion.

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Authors and Affiliations

  1. Department of Mathematics, Zhengzhou University, 450052, Zhengzhou, Henan, PRC

    Xian-Guo Geng

  2. Institute of Mathematics, Fudan University, 200433, Shanghai, PRC

    Wen-Xiu Ma

Authors
  1. Xian-Guo Geng
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  2. Wen-Xiu Ma
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Geng, XG., Ma, WX. A generalized Kaup-Newell spectral problem, soliton equations and finite-dimensional integrable systems. Nuov Cim A 108, 477–486 (1995). https://doi.org/10.1007/BF02813604

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  • DOI: https://doi.org/10.1007/BF02813604

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