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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(8): 757-760

Xie Han-guang. Deformation of Structure and Spectrum of Evolution Equations[J]. Applied Mathematics and Mechanics, 1991, 12(8): 757-760.

Citation:

Xie Han-guang. Deformation of Structure and Spectrum of Evolution Equations[J]. Applied Mathematics and Mechanics, 1991, 12(8): 757-760.

Xie Han-guang. Deformation of Structure and Spectrum of Evolution Equations[J]. Applied Mathematics and Mechanics, 1991, 12(8): 757-760.

Citation:

Xie Han-guang. Deformation of Structure and Spectrum of Evolution Equations[J]. Applied Mathematics and Mechanics, 1991, 12(8): 757-760.

Deformation of Structure and Spectrum of Evolution Equations

Xie Han-guang

Zhejiang Educational College, Zhejiang

Received Date: 1990-08-20
Publish Date: 1991-08-15

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.
- AKNS eigenvalue problem,
- spectrum deformation,
- null curvature equation,
- general structure of evolution equation

References

[1]	李栩神,一类发展方程和谱变形,中国科学A辑,(5) (1982), 385-390
[2]	徐宝智、谢汉光,带非均匀项的Sine-Gordon方程,高校应用数学学报4(1) (1989), 81-95

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