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arXiv · 2212.09546

Solutions of the Sinh-Gordon and Sine-Gordon equations and applications

Giannis Polychrou
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Abstract

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.

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Giannis Polychrou. 2022-12-19. Solutions of the Sinh-Gordon and Sine-Gordon equations and applications. https://arxiv.org/abs/2212.09546

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