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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…
math-ph2025
Resonance-induced nonlinear bound states
Jackson C. Turner, Michael I. Weinstein
We study nonlinear bound states -- time-harmonic and spatially decaying () solutions -- of the nonlinear Schrödinger / Gross--Pitaevskii equations (NLS/GP) with a compactly su…