# 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…

## One Citation

### Relativistic dissipatons in integrable nonlinear Majorana type spinor model

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By method of moving frame, the relativistic integrable nonlinear model for real, Majorana type spinor fields in 1+1 dimensions is introduced and gauge equivalence of this model with Papanicolau spin…

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