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

Details 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

2010-11-27

arxiv.org/abs/1011.5954v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

18 pages

Scientific paper

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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