Soliton oscillations in the Zakharov-type system at arbitrary nonlinearity-dispersion ratio

L.G. Blyakhman, Е.M. Gromov, B.A. Malomed and V.V. Tyutin

Chaos, Solitons & Fractals, 2018, vol. 117, issue C, 264-268

Abstract: The dynamics of two-component solitons with a small spatial displacement of the high-frequency (HF) component relative to the low-frequency (LF) one is investigated in the framework of the Zakharov-type system. In this system, the evolution of the HF field is governed by a linear Schrödinger equation with the potential generated by the LF field, while the LF field is governed by a Korteweg-de Vries (KdV) equation with an arbitrary dispersion-nonlinearity ratio and a quadratic term accounting for the HF feedback on the LF field. The oscillation frequency of the soliton's HF component relative to the LF one is found analytically. It is shown that the solitons are stable against small perturbations. The analytical results are confirmed by numerical simulations.

Keywords: Two-component solitons; Soliton stability; Linear Schrödinger equation; Korteweg-de Vries equation; Dispersion; Nonlinearity (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:117:y:2018:i:c:p:264-268

DOI: 10.1016/j.chaos.2018.11.004

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