9 citations · 10 across the 6 of their papers we have counts for
6 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-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…
New exact multi line soliton and periodic solutions with constant asymptotic values at infinity of the NVN integrable nonlinear evolution equation via dibar-dressing method
M. Yu. Basalaev, V. G. Dubrovsky, A. V. Topovsky
The classes of exact multi line soliton, periodic solutions and solutions with functional parameters, with constant asymptotic values at infinity u|_{xi^2+eta^2->infty}->-epsilon,…