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Massive Thirring Model: Inverse Scattering and Soliton Resolution

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arxiv 2307.15323 v1 pith:TDGIL57Y submitted 2023-07-28 math.AP nlin.SI

Cheng He , Jiaqi Liu , Changzheng Qu This is my paper · ORCID
classification math.APnlin.SI
keywords massivemodelthirringdifficultyinverseresolutionscatteringsingularities
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exponential and algebraic double-soliton solutions of the massive Thirring model

    nlin.SI 2024-12 accept novelty 6.0 of 10

    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.

  2. Inverse Scattering Transform for the Massive Thirring Model: Delving into Higher-Order Pole Dynamics

    nlin.SI 2024-11 reject novelty 5.0 of 10

    The authors extend the inverse scattering transform for the massive Thirring model to transmission coefficients with higher-order poles and derive N-multipole solutions in the reflectionless case.

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