11 citations · 14 across the 6 of their papers we have counts for
6 papers
PT-symmetric sine-Gordon breathers
N. Lu, J. Cuevas-Maraver, P. G. Kevrekidis
In this work, we explore a prototypical example of a genuine continuum breather (i.e., not a standing wave) and the conditions under which it can persist in a -symme…
Equivariant and self-similar standing waves for a Hamiltonian hyperbolic-hyperbolic spin-field system
Nan Lu, Andrea Nahmod, Chongchun Zeng
In this paper we study the existence of special symmetric solutions to a Hamiltonian hyperbolic-hyperbolic coupled spin-field system, where the spins are maps from $\mathbb R^{2+1}…
Compressible Euler equation with damping on Torus in arbitrary dimensions
Nan Lu
We study the exponential stability of constant steady state of isentropic compressible Euler equation with damping on . The local existence of solutions is based on se…
Small Amplitude Periodic Solutions of Klein-Gordon Equations
Nan Lu
We consider a class of nonlinear Klein-Gordon equations and obtain a family of small amplitude periodic solutions, where the temporal and spatial period have…
Small Generalized Breathers with Exponentially Small Tails for Klein-Gordon Equations
Nan Lu
We consider a class of nonlinear Klein-Gordon equation and show that generically there exist small breathers with exponentially small tails.
Normally Elliptic Singular Perturbations and Persistence of Homoclinic Orbits
Nan Lu, Chongchun Zeng
We consider a dynamical system, possibly infinite dimensional or non-autonomous, with fast and slow time scales which is oscillatory with high frequencies in the fast directions. W…