96 citations · 216 across the 10 of their papers we have counts for
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nlin.SI2016★ 21 cited
Counting unstable eigenvalues in Hamiltonian spectral problems via commuting operators
Mariana Haragus, Jin Li, Dmitry E. Pelinovsky
We present a general counting result for the unstable eigenvalues of linear operators of the form in which and are skew- and self-adjoint operators, respectively. Assu…
nlin.PS2016★ 13 cited
On the spontaneous time-reversal symmetry breaking in synchronously-pumped passive Kerr resonators
J. Rossi, R. Carretero-Gonzalez, P. G. Kevrekidis +1
We study the spontaneous temporal symmetry breaking instability in a coherently-driven passive optical Kerr resonator observed experimentally by Xu and Coen in Opt.~Lett.~{\bf 39},…
math.AP2016★ 10 cited
Transverse instability of periodic and generalized solitary waves for a fifth-order KP model
Mariana Haragus, Erik Wahlén
We consider a fifth-order Kadomtsev-Petviashvili equation which arises as a two-dimensional model in the classical water-wave problem. This equation possesses a family of generaliz…