• Corpus ID: 243938666

General bright and dark soliton solutions to the massive Thirring model via KP hierarchy reductions

@inproceedings{Chen2021GeneralBA,
  title={General bright and dark soliton solutions to the massive Thirring model via KP hierarchy reductions},
  author={Junchao Chen and Bao-Feng Feng},
  year={2021}
}
In the present paper, we are concerned with the tau function and its connection with the Kadomtsev-Petviashvili (KP) theory for the massive Thirring (MT) model. First, we bilinearize the massive Thirring model under both the vanishing and nonvanishing boundary conditions. Starting from a set of bilinear equations of two-component KPToda hierarchy, we derive the multi-bright solution to the MT model by the KP hierarchy reductions. Then, we show that the discrete KP equation can generate a set of… 
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