2013
DOI: 10.48550/arxiv.1311.1136
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The Constant Astigmatism Equation. New Exact Solution

Natale Manganaro,
Maxim V. Pavlov

Abstract: In this paper we present a new solution for the Constant Astigmatism equation. This solution is parameterized by an arbitrary function of a single variable.

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“…For the particular value g = 1/u, this factorization was indicated in [21] in terms of "first order reductions". Interpreting and developing the above results for (1+1)-dimensional nonlinear wave equations similarly to the consideration of the particular case G = const in [18, Section 6] will be the subject of a forthcoming paper.…”
mentioning
confidence: 99%
“…For the particular value g = 1/u, this factorization was indicated in [21] in terms of "first order reductions". Interpreting and developing the above results for (1+1)-dimensional nonlinear wave equations similarly to the consideration of the particular case G = const in [18, Section 6] will be the subject of a forthcoming paper.…”
mentioning
confidence: 99%