论文标题
Sinh-Gordon和正弦方程和应用的解决方案
Solutions of the Sinh-Gordon and Sine-Gordon equations and applications
论文作者
论文摘要
我们在真实的平面上研究椭圆形的sinh-gordon和正弦 - 戈登方程，并介绍了新的解决方案家族。我们使用的反弹转换连接了Sinh-Gordon和Sine-Gordon方程的椭圆形版本。作为一种应用，当目标为恒定曲率-1时，我们在表面之间构建新的谐波图。
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 sinh-Gordon and sine-Gordon equations. As an application, we construct new harmonic maps between surfaces, when the target is of constant curvature -1.
