数学物理学报(英文版) ›› 1987, Vol. 7 ›› Issue (4): 375-381.

• 论文 • 上一篇    下一篇

COMPREHENSIVE CONSIDERATION OF THE NEW PERIODIC SOLUTION OF THE NONLINEAR SCHRÖDINGER EQUATION

汪存启1, 李翊神2   

  1. 1. Dept. of Math., Wuhan University, Wuhan, China;
    2. Dept. of Math., Chinese University of Science and Technology, Hefei, China
  • 收稿日期:1985-06-04 出版日期:1987-12-25 发布日期:1987-12-25

COMPREHENSIVE CONSIDERATION OF THE NEW PERIODIC SOLUTION OF THE NONLINEAR SCHRÖDINGER EQUATION

Wang Cunqi1, Li Yishen2   

  1. 1. Dept. of Math., Wuhan University, Wuhan, China;
    2. Dept. of Math., Chinese University of Science and Technology, Hefei, China
  • Received:1985-06-04 Online:1987-12-25 Published:1987-12-25

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摘要： For the nonlinear schrodinger equation iut+uxx+2|u|2u=0, the writer once obtained a new periodic solution q(x, t). In this paper, we will discuss some properties of q(x, t), get all the main spectrum and the auxiliary spectrum of q(x, t), and analyse motion forms of the spectra. We will also prove that q(x, t) is an one-band potential.

Abstract: For the nonlinear schrodinger equation iut+uxx+2|u|2u=0, the writer once obtained a new periodic solution q(x, t). In this paper, we will discuss some properties of q(x, t), get all the main spectrum and the auxiliary spectrum of q(x, t), and analyse motion forms of the spectra. We will also prove that q(x, t) is an one-band potential.

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