The algebraic double-soliton solutions of the massive Thirring model arise as a singular limit of Riemann-Hilbert double-pole solutions and correspond to a double embedded eigenvalue at zeta equals i.
Massive Thirring Model: Inverse Scattering and Soliton Resolution
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In this paper the long-time dynamics of the massive Thirring model is investigated. Firstly the nonlinear steepest descent method for Riemann-Hilbert problem is explored to obtain the soliton resolution of the solutions to the massive Thirring model whose initial data belong to some weighted-Sobolev spaces. Secondly, the asymptotic stability of multi-solitons follow as a corollary. The main difficulty in studying the massive Thirring model through inverse scattering is that the corresponding Lax pair has singularities at the origin and infinity. We overcome this difficulty by making use of two transforms that separate the singularities.
citation-role summary
background 1
citation-polarity summary
fields
nlin.SI 1years
2024 1verdicts
ACCEPT 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Exponential and algebraic double-soliton solutions of the massive Thirring model
The algebraic double-soliton solutions of the massive Thirring model arise as a singular limit of Riemann-Hilbert double-pole solutions and correspond to a double embedded eigenvalue at zeta equals i.