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nlin.PS2023
Spike Solutions to the Supercritical Fractional Gierer-Meinhardt System
Daniel Gomez, Markus De Medeiros, Jun-cheng Wei +1
Localized solutions are known to arise in a variety of singularly perturbed reaction-diffusion systems. The Gierer-Meinhardt (GM) system is one such example and has been the focus…
nlin.PS2021★ 4 cited
Multi-Spike Solutions to the Fractional Gierer-Meinhardt System in a One-Dimensional Domain
Daniel Gomez, Juncheng Wei, Wen Yang
In this paper we consider the existence and stability of multi-spike solutions to the fractional Gierer-Meinhardt model with periodic boundary conditions. In particular we rigorous…