34 citations · 234 across the 33 of their papers we have counts for
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Charged solitons in branched conducting polymers
D. Babajanov, H. Matyoqubov, D. Matrasulov
We consider dynamics of charged solitons in branched conducting polymers. An effective model based on the sine-Gordon equation on metric graphs is used for computing the charge tra…
Nonlinear standing waves on planar branched systems: Shrinking into metric graph
Z. Sobirov, D. Babajanov, D. Matrasulov
We treat the stationary nonlinear Schroodinger equation on two-dimensional branched domains, so-called fat graphs. The shrinking limit when the domain becomes one-dimensional metri…
Dynamics of Dirac solitons in networks
K. K. Sabirov, D. B. Babajanov, D. U. Matrasulov +1
We study dynamics of Dirac solitons in prototypical networks modeling them by the nonlinear Dirac equation on metric graphs. Soliton solutions of the nonlinear Dirac equation on si…