Geodesic
Resonanse interaction of breathers in the~Manakov system
Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 3, pp. 418-436

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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, resonanse interaction, Kuznetsov soliton.
Mots-clés : solitons, "dressing" technique 
@article{TMF_2022_213_3_a1,
     author = {A. A. Raskovalov and A. A. Gelash},
     title = {Resonanse interaction of breathers in {the~Manakov} system},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {418--436},
     publisher = {mathdoc},
     volume = {213},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a1/}
}
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A. A. Raskovalov; A. A. Gelash. Resonanse interaction of breathers in the~Manakov system. Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 3, pp. 418-436. http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a1/