QGLAB: A MATLAB Package for Computations on Quantum Graphs
We describe QGLAB, a new MATLAB package for analyzing partial differential equations on quantum graphs. The supplementary material contains additional examples and a complete …
Drift of spectrally stable shifted states on star graphs
When the coefficients of the cubic terms match the coefficients in the boundary conditions at a vertex of a star graph and satisfy a certain constraint, the nonlinear Schrödinger …
adilbek-kairzhan
NLS bifurcations on the bowtie combinatorial graph and the dumbbell metric graph
We consider the bifurcations of standing wave solutions to the nonlinear Schrödinger equation (NLS) posed on a quantum graph consisting of two loops connected by a single edge, the …