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arXiv · 1011.5954

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

Vladislav. G. Dubrovsky·Anton. V. Topovsky·Maxim. Yu. Basalaev
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Abstract

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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Vladislav. G. Dubrovsky, Anton. V. Topovsky, Maxim. Yu. Basalaev. 2010-11-27. New exact solutions of two-dimensional integrable generalizations of Kaup-Kuperschmidt and Sawada-Kotera equations via the $\bar\partial$-dressing method. https://arxiv.org/abs/1011.5954

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