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More exact solutions of the constant astigmatism equation

Exactly Solvable and Integrable Systems 2018-02-02 v2 Differential Geometry

Abstract

By using B\"acklund transformation for the sine-Gordon equation, new periodic exact solutions of the constant astigmatism equation zyy+(1/z)xx+2=0 z_{yy} + ({1}/{z})_{xx} + 2 = 0 are generated from a seed which corresponds to Lipschitz surfaces of constant astigmatism.

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Cite

@article{arxiv.1707.00775,
  title  = {More exact solutions of the constant astigmatism equation},
  author = {Adam Hlavac},
  journal= {arXiv preprint arXiv:1707.00775},
  year   = {2018}
}

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