T. Xu and D.E. Pelinovsky
Darboux transformation and soliton solutions of the semi-discrete massive Thirring model
Physics Letters A 383 (2019) 125948 (14 pages)
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.
Keywords:
Massive Thirring model, integrable semi-discretization, soliton solutions, Darboux transformations, modulational stability.