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math.AP2022
Traveling edge states in massive Dirac equations along slowly varying edges
Pipi Hu, Peng Xie, Yi Zhu
Topologically protected wave motion has attracted considerable interest due to its novel properties and potential applications in many different fields. In this work, we study edge…
math.AP2020★ 1 cited
Wave packets in the fractional nonlinear Schrödinger equation with a honeycomb potential
Peng Xie, Yi Zhu
In this article, we study wave dynamics in the fractional nonlinear Schrödinger equation with a modulated honeycomb potential. This problem arises from recent research interests in…
math.AP2019★ 13 cited
Wave packet dynamics in slowly modulated photonic graphene
Peng Xie, Yi Zhu
Mathematical analysis on electromagnetic waves in photonic graphene, a photonic topological material which has a honeycomb structure, is one of the most important current research…