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Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (8): 807-811.

• 论文 • 上一篇    下一篇

DEFORMATION OF STRUCTURE AND SPECTRUM OF EVOLUTION EQUATIONS

谢汉光   

  1. Zhejiang Educational College, Zhejiang
  • 收稿日期:1990-08-20 出版日期:1991-08-18 发布日期:1991-08-18
  • 基金资助:
    The Projects Supported by the National Natural Science Foundation of China

DEFORMATION OF STRUCTURE AND SPECTRUM OF EVOLUTION EQUATIONS

Xie Han-guang   

  1. Zhejiang Educational College, Zhejiang
  • Received:1990-08-20 Online:1991-08-18 Published:1991-08-18
  • Supported by:
    The Projects Supported by the National Natural Science Foundation of China

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摘要： In this paper, we study the general structure of evolution equations of the AKNS eigenvalue problem q(x,t), r(x,t) with the spectrum varying as and A1,B1,C1are all positive or negative power polynomials of where q, r are not limited with any additional conditions at infinity.

关键词: AKNS eigenvalue problem, spectrum deformation, null curvature equation, general structure of evolution equation

Abstract: In this paper, we study the general structure of evolution equations of the AKNS eigenvalue problem q(x,t), r(x,t) with the spectrum varying as and A1,B1,C1are all positive or negative power polynomials of where q, r are not limited with any additional conditions at infinity.

Key words: AKNS eigenvalue problem, spectrum deformation, null curvature equation, general structure of evolution equation

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