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Darboux transformation and soliton solutions of...
Journal article

Darboux transformation and soliton solutions of the semi-discrete massive Thirring model

Abstract

A one-fold Darboux transformation between solutions of the semi-discrete massive Thirring model is derived using the Lax pair and the dressing method. 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 their continuous counterparts.

Authors

Xu T; Pelinovsky DE

Journal

Physics Letters A, Vol. 383, No. 32,

Publisher

Elsevier

Publication Date

November 2019

DOI

10.1016/j.physleta.2019.125948

ISSN

0375-9601