ON INTEGRATION OF THE LOADED KORTEWEG-DE VRIES EQUATION IN THE CLASS OF RAPIDLY DECREASING FUNCTIONS
Aknazar HasanovKhorezm Branch of the Romanovsky Institute of Mathematics and Urgench State University, 14 H.Alimjan, Urgench, 220100, UzbekistanU. A. HoitmetovSamarkand State University, 15 University Boulevard, Samarkand, 140104, UzbekistanL FaddeevA FokasM AblowitzC GardnerI GreeneM KruskalR MiuraI GuseinovU HoitmetovA KhasanovM MatyakubovG UrazboyevA KozhanovP LaxJ LeonA LatifiA LugovtsovV Mel'nikovA NakhushevA YakhshimuratovM MatyokubovV ZakharovS ManakovS NovikovL Pitaevsky
Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijanjournal2021en
ABI
Аннотация
In this work, the inverse scattering method is applied to the integration of the loaded Korteweg-de Vries equation in the class of rapidly decreasing functions. The multisoliton solutions of the loaded Korteweg-de Vries equation are found.
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