Darboux transformation and soliton solutions of the semi-discrete massive Thirring model
Exactly Solvable and Integrable Systems
2019-10-23 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
A one-fold Darboux transformation between solutions of the semi-discrete massive Thirring model is derived using the Lax pair and dressing methods. This transformation is used to find the exact expressions for soliton solutions on zero and nonzero backgrounds. It is shown that the discrete solitons have the same properties as solitons of the continuous massive Thirring model.
Keywords
Cite
@article{arxiv.1907.01731,
title = {Darboux transformation and soliton solutions of the semi-discrete massive Thirring model},
author = {Tao Xu and Dmitry E. Pelinovsky},
journal= {arXiv preprint arXiv:1907.01731},
year = {2019}
}
Comments
19 pages;