The unified soliton system as the AdS2 system

Author:

Hayashi MasahitoORCID,Shigemoto Kazuyasu,Tsukioka Takuya

Abstract

Abstract We study the Riemann geometric approach to be aimed at unifying soliton systems. The general two-dimensional Einstein equation with a constant negative scalar curvature becomes an integrable differential equation. We show that such Einstein equation includes KdV/mKdV/sine-Gordon equations.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Two flows Kowalevski top as the full genus two Jacobi’s inversion problem and Sp(4, R ) lie group structure;Journal of Physics Communications;2022-02-01

2. Differential equations of genus four hyperelliptic ℘ functions;Journal of Physics Communications;2021-10-01

3. Elliptic solutions for higher order KdV equations;Journal of Physics Communications;2020-04-01

4. Common Hirota form Bäcklund transformation for the unified Soliton system;Journal of Physics Communications;2020-01-01

5. The unified soliton system as the AdS2 system;Journal of Physics Communications;2019-08-01

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