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nlin.PS2024
Existence of solitary waves in particle lattices with power-law forces
Benjamin Ingimarson, Robert L. Pego
We prove the existence of small solitary waves for one-dimensional lattices of particles that each repel every other particle with a force that decays as a power of distance. For f…
nlin.PS2023★ 1 cited
On long waves and solitons in particle lattices with forces of infinite range
Benjamin Ingimarson, Robert L. Pego
We study waves on infinite one-dimensional lattices of particles that each interact with all others through power-law forces . The inverse-cube case corresponds to C…