568 citations · 1.1k across the 14 of their papers we have counts for
16 papers
Improved uniqueness of multi-breathers of the modified Korteweg-de Vries equation
Raphaël Côte, Alexander Semenov
We consider multi-breathers of (mKdV). Previously, a smooth multi-breather was constructed, and proved to be unique in two cases: first, if the class of super-polynomial convergenc…
Orbital Stability Of A Sum Of Solitons And Breathers Of The Modified Korteweg-de Vries Equation
Alexander Semenov
In this article, we prove that a sum of solitons and breathers of the modified Korteweg-de Vries equation (mKdV) is orbitally stable. The orbital stability is shown in H^2. More pr…
On the uniqueness of multi-breathers of the modified Korteweg-de Vries equation
Alexander Semenov
We consider the modified Korteweg-de Vries equation (mKdV) and prove that given any sum P of solitons and breathers of (mKdV) (with distinct velocities), there exists a solution p…
Notes on relaxation of the resonant model using a scattering approach
Alexander Semenov
Here we consider a non-perturbative description of the non-interacting resonant model using a scattering approach employed in JCP 152(24) 244126 (2020). We showed that such descrip…
Transport and thermodynamics in quantum junctions: A scattering approach
Alexander Semenov, Abraham Nitzan
We present a scattering approach for the study of the transport and thermodynamics of quantum systems strongly coupled to their thermal environment(s). This formalism recovers the…
Electron transfer in confined electromagnetic fields
Alexander Semenov, Abraham Nitzan
The interaction between molecular (atomic) electron(s) and the vacuum field of a reflective cavity generates a significant interest thanks to the rapid developments in nanophotonic…