Derives a novel coupled nonlinear Schrödinger system for weakly nonlinear waves at the flat band-upper dispersion surface intersection in a Kagome lattice, then reduces it via Lie symmetries to solitary wave solutions with numerical checks.
Lee, Dirac Cones for Point Scatterers on a Honeycomb Lattice, SIAM J Math Anal , 48, 1459–1488, (2016)
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Asymptotic Analysis of discrete nonlinear localised modes in a Kagome lattice
Derives a novel coupled nonlinear Schrödinger system for weakly nonlinear waves at the flat band-upper dispersion surface intersection in a Kagome lattice, then reduces it via Lie symmetries to solitary wave solutions with numerical checks.