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nlin.PS2015★ 30 cited
Sine-Gordon solitons in networks: Scattering and transmission at vertices
Zarif Sobirov, Doniyor Babajanov, Davron Matrasulov +2
We consider the sine-Gordon equation on metric graphs with simple topologies and derive vertex boundary conditions from the fundamental conservation laws, such as energy and curren…
nlin.PS2014★ 41 cited
Soliton transport in tubular networks: transmission at vertices in the shrinking limit
Hannes Uecker, Daniel Grieser, Zarif Sobirov +2
Soliton transport in tube-like networks is studied by solving the nonlinear Schroedinger equation (NLSE) on finite thickness ("fat") graphs. The dependence of the solution and of t…