Novosibirsk State Technical University
Kal Marx prosp. 20, NSTU, 630092, Russia
E-mail:  dubrovsky@online.nsk.ru

New exact solutions of some 2+1-dimensional integrable equations (Nizhnik-Veselov-Novikov; two-dimensional sine-Gordon, Kupershmidt and Sawada-Kotera equations)

Abstract:
The broad classes of exact  new solutions of two-dimensional Nizhnik-Veselov-Novikov (NVN) equations,  Sawada-Kotera and Kaup-Kuppershmidt equations via di-bar dressing method of Zakharov and Manakov are considered. New exact solutions of two-dimensional integrable sine-Gordon equation generated by nontrivial singular boundaries  are considered.