3 years ago

Multi-soliton states under triangular spatial modulation of the quadratic nonlinearity.

Vitaly Lutsky, Boris A. Malomed

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.

Publisher URL: http://arxiv.org/abs/1801.06848

DOI: arXiv:1801.06848v1

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