2017/01/31 by K. K. Sabirov, D. B. Babajanov, D. U. Matrasulov +1 · 1 citation
Physics and Astronomy · #nlin.PS #cond-mat.mes-hall #hep-th #quant-ph
paper · pdf · doi:10.1088/1751-8121/aadfb0
published as J. Phys. A: Math. Theor. 51 (2018) 435203
arxiv created 2018/09/26 · arxiv updated 2018/10/17
We study dynamics of Dirac solitons in prototypical networks modeling them by the nonlinear Dirac equation on metric graphs. Soliton solutions of the nonlinear Dirac equation on simple metric graphs are obtained. It is shown that these solutions provide reflectionless vertex transmission of the Dirac solitons under suitable conditions. The constraints for bond nonlinearity coefficients, allowing reflectionless transmission over a Y-junction are derived. The analytical results are confirmed by direct numerical simulations.