Timur Mashkin

most citedSolitons in the Presence of a Small, Slowly Varying Electric Field

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math.AP2018

Invariant Virtual Solitary Manifold of the Perturbed Sine-Gordon Equation

Timur Mashkin

We study the perturbed sine-Gordon equation $θ_{tt} - θ_{xx} + sin θ = F (ε, x)$ , where we assume that the perturbation $F$ is analytic in $ε$ and that its derivative…

math.AP2017

Stability of the Solitary Manifold of the Perturbed Sine-Gordon Equation

Timur Mashkin

We study the perturbed sine-Gordon equation $θ_{tt} - θ_{xx} + sin θ = F (ε, x)$ , where $F$ is of differentiability class $C^{n}$ in $ε$ and the first $k$ derivatives v…