Tau-function formulation for bright, dark soliton and breather solutions to the massive Thirring model

Authors

Junchao Chen
Bao-Feng Feng, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

1-2023

Abstract

In the present paper, we are concerned with the link between the Kadomtsev–Petviashvili–Toda (KP–Toda) hierarchy and the massive Thirring (MT) model. First, we bilinearize the MT model under both the vanishing and nonvanishing boundary conditions. Starting from a set of bilinear equations of two-component KP–Toda hierarchy, we derive multibright solution to the MT model. Then, considering a set of bilinear equations of the single-component KP–Toda hierarchy, multidark soliton and multibreather solutions to the MT model are constructed by imposing constraints on the parameters in two types of tau function, respectively. The dynamics and properties of one- and two-soliton for bright, dark soliton and breather solutions are analyzed in details.

Comments

Original published version available at https://doi.org/10.1111/sapm.12532

Recommended Citation

Chen, Junchao, and Bao‐Feng Feng. "Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model." Studies in Applied Mathematics 150, no. 1 (2023): 35-68. https://doi.org/10.1111/sapm.12532

Publication Title

Studies in Applied Mathematics

DOI

10.1111/sapm.12532