TY - JOUR
T1 - Multi-soliton states under triangular spatial modulation of the quadratic nonlinearity
AU - Lutsky, Vitaly
AU - Malomed, Boris A.
N1 - Publisher Copyright:
© 2018, EDP Sciences and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2018/9/1
Y1 - 2018/9/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85054677002&partnerID=8YFLogxK
U2 - 10.1140/epjst/e2018-00127-4
DO - 10.1140/epjst/e2018-00127-4
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AN - SCOPUS:85054677002
SN - 1951-6355
VL - 227
SP - 533
EP - 549
JO - European Physical Journal: Special Topics
JF - European Physical Journal: Special Topics
IS - 5-6
ER -