139 citations · 244 across the 6 of their papers we have counts for
8 papers
The solution of Liouville's equation (1850, 1853) and its impact
E. M. Bogatov, S. Kichenassamy
Liouville's 1853 paper, in which he derived in closed form the general local solution of equation , is one of the few papers from the 19th century that 21st ce…
Instability of pole singularities for the Chazy equation
Satyanad Kichenassamy
We prove that the negative resonances of the Chazy equation (in thesense of Painlevé analysis) can be related directly to it sgroup-invariance properties. These resonances indicate…
Analytic description of singularities in Gowdy spacetimes
Satyanad Kichenassamy, Alan D. Rendall
We use Fuchsian Reduction to construct singular solutions of Einstein's equations which belong to the class of Gowdy spacetimes. The solutions have the maximum number of arbitrary…
Asymptotic Behavior in Polarized {\bf T}-symmetric Vacuum Spacetimes
James Isenberg, Satyanad Kichenassamy
We use Fuchsian Reduction to study the behavior near the singularity of a class of solutions of Einstein's vacuum equations. These solutions admit two commuting spacelike Killing f…
A study of ancient Khmer ephemerides
François Vernotte, Satyanad Kichenassamy
We study ancient Khmer ephemerides described in 1910 by the French engineer Faraut, in order to determine whether they rely on observations carried out in Cambodia. These ephemerid…
Breather Solutions of the Nonlinear Wave Equation
Satyanad Kichenassamy
We construct series solutions to all orders for breathers of Klein-Gordon equations, in powers of an amplitude parameter epsilon, under a sign condition on the coefficients of the…