Two-gap elliptic solutions to integrable nonlinear equations |
| |
Authors: | A O Smirnov |
| |
Institution: | (1) St.-Petersburg State Academy of Aerospace Instrumental Engineering, USSR |
| |
Abstract: | We study spectral surfaces associated with elliptic two-gap solutions to the nonlinear Schrödinger equation (NLS), the Korteweg-de Vries equation (KdV), and the sine-Gordon equation (SG). It is shown that elliptic solutions to the NLS and SG equations, as well as solutions to the KdV equation elliptic with respect tot, can be assigned to any hyperelliptic surface of genus 2 that forms a covering over an elliptic surface. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|