Existence of bifurcating k-vortex stationary solutions to the Gross-Pitaevskii equation in a strip, constructed via Fourier decomposition and analysis of the linearized operator around the soliton using fixed-point and inverse-function theorems.
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Bifurcating solitonic vortices in a strip
Existence of bifurcating k-vortex stationary solutions to the Gross-Pitaevskii equation in a strip, constructed via Fourier decomposition and analysis of the linearized operator around the soliton using fixed-point and inverse-function theorems.