Geodesic
Networks with point-like nonlinearities
Nanosistemy: fizika, himiâ, matematika, Tome 13 (2022) no. 1, pp. 30-35.

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We study static nonlinear waves in networks described by a nonlinear Schrödinger equation with point-like nonlinearities on metric graphs. Explicit solutions fulfilling vertex boundary conditions are obtained. Spontaneous symmetry breaking caused by bifurcations is found.
Keywords: metric graphs, point-like nonlinearity, spontaneous symmetry breaking bifurcations.
Mots-clés : NLSE 
@article{NANO_2022_13_1_a4,
     author = {K. K. Sabirov and J. R. Yusupov and Kh. Sh. Matyokubov and H. Susanto and D. U. Matrasulov},
     title = {Networks with point-like nonlinearities},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {30--35},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2022_13_1_a4/}
}
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K. K. Sabirov; J. R. Yusupov; Kh. Sh. Matyokubov; H. Susanto; D. U. Matrasulov. Networks with point-like nonlinearities. Nanosistemy: fizika, himiâ, matematika, Tome 13 (2022) no. 1, pp. 30-35. http://geodesic.mathdoc.fr/item/NANO_2022_13_1_a4/