Keywords: J-aggregates, exciton-exciton annihilation, dipole-dipole interaction, many-particle interactions, bistability, dissipative solitons, modulation instability
Acknowledgements. These researches are supported by the Russian Foundation for Basic Research, grant 13-02-00527-а, ITMO
University grant 414656, and partially financially supported by the Government of the Russian Federation (grant 074-U01).
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