The construction of exact solutions of two-dimensional integrable generalizations of Kaup-Kuperschmidt and Sawada-Kotera equations via partial derivative-dressing method

The (2 + 1)-dimensional integrable generalization of Kaup-Kuperschmidt and Savada-Kotera equations are studied by (&PARTIAL;) over bar -dressing method of Zakharov and Manakov. Several classes of exact solutions such as line solitons and line rational lumps are constructed. (C) 2002 Elsevier Science B.V. All rights reserved.