Multi-soliton states under triangular spatial modulation of the quadratic nonlinearity
arXiv:1801.06848 · doi:10.1140/epjst/e2018-00127-4
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.
to be published in Eur. Phys. J. Special Topics (special issue "Nonlinear Dynamics in Physics: New Techniques and Applications")