More exact solutions of the constant astigmatism equation

2017/07/31 by Adam Hlaváč, Adam Hlavac · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Astigmatism #Constant (computer programming) #Lipschitz continuity #Mathematical analysis #Mathematical physics #Mathematics #Mathematics and Applications #Nonlinear Waves and Solitons #Nonlinear system #Optics #Physics #Quantum mechanics #Soliton #Transformation (genetics) #math.DG #msc:35Q53 #msc:35Q74 #msc:37K35 #msc:53A05 #msc:58J72 #nlin.SI #sine-Gordon equation

paper · pdf · doi:10.1016/j.geomphys.2017.09.003

published in Journal of Geometry and Physics 123, 209-220 (Elsevier BV) · 9 figures

openalex publication_date 2017/09/21 · arxiv created 2018/01/31 · arxiv updated 2018/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

By using Bäcklund transformation for the sine-Gordon equation, new periodic exact solutions of the constant astigmatism equation z_yy + (1/z)_xx + 2 = 0 are generated from a seed which corresponds to Lipschitz surfaces of constant astigmatism.

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