2 papers
math.AP2019
Bifurcation of Gap Solitons in Coupled Mode Equations in Dimensions
Tomas Dohnal, Lisa Wahlers
We consider a system of first order coupled mode equations in describing the envelopes of wavepackets in nonlinear periodic media. Under the assumptions of a spectra…
math.AP2018
Coupled Mode Equations and Gap Solitons in Higher Dimensions
Tomas Dohnal, Lisa Wahlers
We study waves-packets in nonlinear periodic media in arbitrary () spatial dimension, modeled by the cubic Gross-Pitaevskii equation. In the asymptotic setting of small and broa…