Solutions of the sinh-Gordon and sine-Gordon equations and applications

被引：0

作者：

Polychrou, Giannis ^{[1
]}

机构：

[1] Aristotle Univ Thessaloniki, Dept Math, Thessaloniki 54124, Greece

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2023年 / 9卷 / 01期

关键词：

Sinh-Gordon equation; Sine-Gordon equation; Backlund transformation;

D O I：

10.1007/s41808-023-00214-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the elliptic sinh-Gordon and sine-Gordon equations on the real plane and we introduce new families of solutions. We use a Backlund transformation that connects the elliptic versions of sine-Gordon and sinh-Gordon equations. As an application, we construct new harmonic maps between surfaces, when the target is of constant curvature -1.

引用

页码：611 / 625

页数：15

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