14 citations · 38 across the 9 of their papers we have counts for
9 papers
New exact periodical solutions of mKP-1 equation via -dressing
V. G. Dubrovsky, A. V. Topovsky
We proposed general scheme for construction of exact real periodical solutions of mKP-1 equation via Zakharov-Manakov -dressing method, derived convenient dete…
Multi-lump solutions of mKP-1,2 equations with integrable boundary condition via -dressing
V. G. Dubrovsky, A. V. Topovsky
We constructed new classes of exact multi-lump solutions of mKP-1,2 equations with integrable boundary condition by the use of -dressing…
Multi-lump solutions of KP equation with integrable boundary via -dressing method
V. G. Dubrovsky, A. V. Topovsky
We constructed the new classes of exact multi-lump solutions of KP-1 and KP-2 versions of KP equations with integrable boundary condition by the use of $\overl…
Multi-soliton solutions of KP equation with integrable boundary via -dressing method
V. G. Dubrovsky, A. V. Topovsky
New classes of exact multi-soliton solutions of KP-1 and KP-2 versions of Kadomtsev-Petviashvili equation with integrable boundary condition by the use of $\ov…
About linear superpositions of special exact solutions of Veselov-Novikov equation
V. G. Dubrovsky, A. V. Topovsky
New exact solutions, nonstationary and stationary, of Veselov-Novikov (VN) equation in the forms of linear superpositions of arbitrary number of exact special solutions ,…
New exact solutions of two-dimensional integrable generalizations of Kaup-Kuperschmidt and Sawada-Kotera equations via the -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 -dressing method of Zakharov and Manakov. The solutions…