# Traveling solitons in long-range oscillator chains

@article{Miloshevich2016TravelingSI, title={Traveling solitons in long-range oscillator chains}, author={George Miloshevich and Jean Pierre Nguenang and Thierry Dauxois and Ramaz Khomeriki and Stefano Ruffo}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2016}, volume={50} }

We investigate the existence and propagation of solitons in a long-range extension of the quartic Fermi–Pasta–Ulam (FPU) chain of anharmonic oscillators. The coupling in the linear term decays as a power-law with an exponent 1<α⩽3. We obtain an analytic perturbative expression of traveling envelope solitons by introducing a non linear Schrödinger equation for the slowly varying amplitude of short wavelength modes. Due to the non analytic properties of the dispersion relation, it is crucial to…

## 21 Citations

### Equilibrium time-correlation functions of the long-range interacting Fermi–Pasta–Ulam model

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It appears that the interplay between the carrier wave frequency and the LRI induces stationary forward or backward propagating waves that occur out of the center/edge of the first Brillouin zone.

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### Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions

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### Supratransmission in β-Fermi-Pasta-Ulam chains with different ranges of interactions

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