4 citations · 8 across the 3 of their papers we have counts for
3 papers
nlin.SI2016★ 2 cited
Nonlocal conservation laws of the constant astigmatism equation
Adam Hlaváč, Michal Marvan
For the constant astigmatism equation, we construct a system of nonlocal conservation laws (an abelian covering) closed under the reciprocal transformations. We give functionally i…
nlin.SI2015★ 4 cited
On multisoliton solutions of the constant astigmatism equation
Adam Hlaváč
We introduce an algebraic formula producing infinitely many exact solutions of the constant astigmatism equation from a given seed. A constructi…
nlin.SI2012★ 2 cited
Some results concerning the constant astigmatism equation
Adam Hlaváč, Michal Marvan
In this paper we continue investigation of the constant astigmatism equation z_{yy} + (1/z)_{xx} + 2 = 0. We newly interpret its solutions as describing spherical orthogonal equiar…