Can I read Existence of Solitary Waves in Particle Lattices with Power-law Forces on EtoBox?

Existence of Solitary Waves in Particle Lattices with Power-law Forces by Ingimarson, Benjamin; Pego, Robert L. is a scholarly article available to read on EtoBox.

What is Existence of Solitary Waves in Particle Lattices with Power-law Forces about?

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 force exponents $\alpha+1$ with $\frac43<\alpha<3$, we employ fixed-point arguments to find near-sonic solitary waves having scaled velocity profiles close to non-degenerate solitary-wave profiles of fractional KdV or generalized Benjamin-Ono equations. These equations were recently found to approximately govern unidirectional long-wave motions in these lattices.

Author

Ingimarson, Benjamin; Pego, Robert L.

Published

2024

Language

EN