Multi-soliton states under triangular spatial modulation of the quadratic nonlinearity
Abstract
We introduce multi-soliton sets in the two-dimensional medium with the second-harmonic-generating nonlinearity subject to spatial modulation in the form of a triangle of singular peaks. Various families of symmetric and asymmetric sets are constructed, and their stability is investigated. Stable symmetric patterns may be built of 1, 4, or 7 individual solitons, while stable asymmetric ones contain 1, 2, or 3 solitons. Symmetric and asymmetric patterns may demonstrate mutual bistability. The shift of the asymmetric single-soliton state from the central position is accurately predicted analytically. Vortex rings composed of three solitons are produced too.
Cite
@article{arxiv.1801.06848,
title = {Multi-soliton states under triangular spatial modulation of the quadratic nonlinearity},
author = {Vitaly Lutsky and Boris A. Malomed},
journal= {arXiv preprint arXiv:1801.06848},
year = {2018}
}
Comments
to be published in Eur. Phys. J. Special Topics (special issue "Nonlinear Dynamics in Physics: New Techniques and Applications")