S. Dmitriev

activity

20022008

most citedGeneralized Neighbor-Interaction Models Induced by Nonlinear Lattices

42 citations · 79 across the 5 of their papers we have counts for

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Showing 2008Show all

2 papers · 1 filter

nlin.PS2008★ 23 cited

Radiationless energy exchange in three-soliton collisions

Sergey V. Dmitriev, Panayotis G. Kevrekidis, Yuri S. Kivshar

We revisit the problem of the three-soliton collisions in the weakly perturbed sine-Gordon equation and develop an effective three-particle model allowing to explain many interesti…

nlin.SI2008★ 19 cited

High-speed kinks in a generalized discrete $ϕ^{4}$ model

Sergey V. Dmitriev, Avinash Khare, Panayotis G. Kevrekidis +2

We consider a generalized discrete $ϕ^{4}$ model and demonstrate that it can support exact moving kink solutions in the form of tanh with an arbitrarily large velocity. The construct…

Radiationless energy exchange in three-soliton collisions

High-speed kinks in a generalized discrete ϕ4 model

High-speed kinks in a generalized discrete $ϕ^{4}$ model