Multi-soliton states under triangular spatial modulation of the quadratic nonlinearity
Department of Physical Electronics, School of Electrical Engineering, Tel Aviv University,
2 ITMO University, St. Petersburg 197101, Russia
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Published online: 4 October 2018
We introduce multi-soliton sets in the two-dimensional medium with the χ(2) 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.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2018