We study static nonlinear waves in networks described by a nonlinear Schrodinger equation with point-like nonlinearities on metric graphs. Explicit solutions fulfilling vertex boundary conditions are obtained. Spontaneous symmetry breaking caused by bifurcations is found.
@article{arxiv.1901.10474,
title = {Networks with point like nonlinearities},
author = {K. K. Sabirov and J. R. Yusupov and H. Susanto and D. U. Matrasulov},
journal= {arXiv preprint arXiv:1901.10474},
year = {2019}
}