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nlin.PS2025
Stability theory of flat band solitons in nonlinear wave systems
Cheng Shi, Ross Parker, Panayotis G. Kevrekides +1
We establish a sharp criterion for the stability of a class of compactly supported, homogeneous density``minimal compact solitons'' or MCS states, of the time-dependent discrete no…
nlin.PS2024
Stability of traveling waves in a nonlinear hyperbolic system approximating a dimer array of oscillators
Huaiyu Li, Andrew Hofstrand, Michael I. Weinstein
We study a semilinear hyperbolic system of PDEs which arises as a continuum approximation of the discrete nonlinear dimer array model introduced by Hadad, Vitelli and Alu (HVA) in…