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

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…