$New exact solutions of two-dimensional integrable generalizations of Kaup-Kuperschmidt and Sawada-Kotera equations via the $\bar\partial$-dressing method$

New exact solutions of two-dimensional integrable generalizations of Kaup-Kuperschmidt and Sawada-Kotera equations via the $\bar\partial$-dressing method

The 2+1-dimensional integrable generalization of Kaup-Kuperschmidt and Sawada-Kotera equations are studied by $\bar\partial$-dressing method of Zakharov and Manakov. The solutions with functional parameters and periodic solutions are constructed.

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Bibliographische Detailangaben
Hauptverfasser:	Dubrovsky, Vladislav. G, Topovsky, Anton. V, Basalaev, Maxim. Yu
Format:	Artikel
Sprache:	eng
Schlagworte:	Physics - Exactly Solvable and Integrable Systems
Online-Zugang:	Volltext bestellen
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Beschreibung
Zusammenfassung:	The 2+1-dimensional integrable generalization of Kaup-Kuperschmidt and Sawada-Kotera equations are studied by $\bar\partial$-dressing method of Zakharov and Manakov. The solutions with functional parameters and periodic solutions are constructed.
DOI:	10.48550/arxiv.1011.5954