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arXiv · 1801.06848

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

Vitaly Lutsky·Boris A. Malomed
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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.

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Vitaly Lutsky, Boris A. Malomed. 2018-01-21. Multi-soliton states under triangular spatial modulation of the quadratic nonlinearity. https://doi.org/10.1140/epjst%2Fe2018-00127-4

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