Networks with point-like nonlinearities
https://doi.org/10.17586/2220-8054-2022-13-1-30-35
Abstract
We study static nonlinear waves in networks described by a nonlinear Schro¨ dinger equation with point-like nonlinearities on metric graphs. Explicit solutions fulfilling vertex boundary conditions are obtained. Spontaneous symmetry breaking caused by bifurcations is found.
About the Authors
K. K. Sabirov
Tashkent University of Information Technologies
Russian Federation
Russian Federation
J. R. Yusupov
Yeoju Technical Institute in Tashkent; National University of Uzbekistan
Russian Federation
Russian Federation
Kh. Sh. Matyokubov
Urgench State University
Russian Federation
Russian Federation
H. Susanto
Khalifa University
Russian Federation
Russian Federation
D. U. Matrasulov
Turin Polytechnic University in Tashkent
Russian Federation
Russian Federation
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Review
For citations:
Sabirov K.K., Yusupov J.R., Matyokubov Kh.Sh., Susanto H., Matrasulov D.U. Networks with point-like nonlinearities. Nanosystems: Physics, Chemistry, Mathematics. 2022;13(1):30-35. https://doi.org/10.17586/2220-8054-2022-13-1-30-35
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