Geometric realization of the Sasa-Satsuma equation on the symmetric space SU(3)/U(2)

被引：0

作者：

Zhong, Shiping ^{[1
]}

Zhao, Zehui ^{[1
]}

机构：

[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2024年 / 201卷

关键词：

The Sasa-Satsuma equation; Geometric realization; Moving Sym-Pohlmeyer curves; Uniqueness; NONLINEAR SCHRODINGER-EQUATION; INVERSE-SCATTERING APPROACH; SOLITON-SOLUTIONS; INTEGRABILITY; ENVELOPE; WAVES;

D O I：

10.1016/j.geomphys.2024.105190

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The analytic property of the Sasa-Satsuma equation has been well-explored via using an array of mathematical tools (such as the inverse scattering transformation, the Hirota bilinear method and the Darboux transformation). This paper devotes to exploring geometric properties of this equation via the zero curvature representation in terms of the language in Yang-Mills theory. The generalized Landau-Lifshitz type model of SymPohlmeyer moving curves evolving in the symmetric Lie algebra g = k circle plus m with initial data being suitably restricted is gauge equivalent to the Sasa-Satsuma equation. This gives a geometric realization of the Sasa-Satsuma equation. (c) 2024 Elsevier B.V. All rights reserved.

引用

页数：10

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