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math.AP2023
Functional separation solutions of the Sinh-Gordon type equations
G. Polychrou
In this paper, we address the following question: Which hyperbolic or elliptic PDEs admit functional separable solutions. We shall focus on the study of a sinh-Gordon type equation…
math.AP2022
Solutions of the Sinh-Gordon and Sine-Gordon equations and applications
Giannis Polychrou
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 ellipti…