A. V. Topovsky

activity

20102020

most citedNew exact multi line soliton and periodic solutions with constant asymptotic values at infinity of the NVN integrable nonlinear evolution equation via dibar-dressing method

9 citations · 10 across the 6 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

nlin.SI2020★ 1 cited

New exact periodical solutions of mKP-1 equation via $\partial$ -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 $\partial$ -dressing method, derived convenient dete…

nlin.SI2020

Multi-lump solutions of mKP-1,2 equations with integrable boundary condition via $\partial$ -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 $u (x, y, t)_{y = 0} = 0$ by the use of $\partial$ -dressing…

nlin.SI2020

Multi-soliton solutions of KP equation with integrable boundary via $\partial$ -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 $u_{y}_{y = 0} = 0$ by the use of $\ov…

New exact periodical solutions of mKP-1 equation via ∂-dressing

Multi-lump solutions of mKP-1,2 equations with integrable boundary condition via ∂-dressing

Multi-soliton solutions of KP equation with integrable boundary via ∂-dressing method

New exact periodical solutions of mKP-1 equation via $\partial$ -dressing

Multi-lump solutions of mKP-1,2 equations with integrable boundary condition via $\partial$ -dressing

Multi-soliton solutions of KP equation with integrable boundary via $\partial$ -dressing method