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Networks with point-like nonlinearities

Nanosystems: Physics, Chemistry, Mathematics (2022) 13(1) 30-35
DOI: 10.17586/2220-8054-2022-13-1-30-35
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Abstract

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.

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Sabirov, K. K., Yusupov, J. R., Matyokubov, K. S., Susanto, H., & Matrasulov, D. U. (2022). Networks with point-like nonlinearities. Nanosystems: Physics, Chemistry, Mathematics, 13(1), 30–35. https://doi.org/10.17586/2220-8054-2022-13-1-30-35

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