This article is cited in 6 papers

Resonanse interaction of breathers in the Manakov system

A. A. Raskovalov^abc, A. A. Gelash<sup>ad

a</sup> Skolkovo Institute of Science and Technology, Moscow, Russia
^b Institute of Metal Physics, Ural Division of the Russian Academy of Sciences, Ekaterinburg
^c Institute of Physics and Technology, Ural Federal University, Ekaterinburg, Russia
^d Institute of Automation and Electrometry, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia

Abstract: By means of the dressing technique we build the multipole solutions of the focusing Manakov system under the constant background. These solutions become degenerated, when the poles of the dressing function are merging. We find out, that at the special choice of integration costants such solutions describe the fusion or decay of the pulsing solitons - breathers - and for their wave numbers and frequencies the typical resonanse condition is valid. We investigate the different cases of such resonanse interactions.

Keywords: Manakov system, solitons, "dressing" technique, resonanse interaction, Kuznetsov soliton.

PACS: 02.30.Jr, 05.45.-a

MSC: 35Q51

Received: 23.08.2022
Revised: 29.08.2022

DOI: 10.4213/tmf10357

 English version: Theoretical and Mathematical Physics, 2022, 213:3, 1669–1685

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