Nonlocality-induced front interaction enhancement

Details Nonlocality-induced front interaction enhancement Nonlocality-induced front interaction enhancement

2011-06-14

arxiv.org/abs/1106.2661v1

Phys. Rev. Lett. 104, 154101 (2010)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 6 figures

Scientific paper

10.1103/PhysRevLett.104.154101

We demonstrate that nonlocal coupling strongly influences the dynamics of fronts connecting two equivalent states. In two prototype models we observe a large amplification in the interaction strength between two opposite fronts increasing front velocities several orders of magnitude. By analyzing the spatial dynamics we prove that way beyond quantitative effects, nonlocal terms can also change the overall qualitative picture by inducing oscillations in the front profile. This leads to a mechanism for the formation of localized structures not present for local interactions. Finally, nonlocal coupling can induce a steep broadening of localized structures, eventually annihilating them.

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