The Asymptotic Stability of Dirac Solitons in the Massive Thirring Model

Abstract

In this paper, the authors employ the

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-steepest descent method and Bäckhand transformation to investigate the asymptotic stability of Dirac solitons in the context of the massive Thirring model (MTM for short) system. They formulate the solution to the Cauchy problem for the MTM system in terms of the solution to a Riemann-Hilbert (RH for short) problem. This RH problem is decomposed into two components: A pure radiation solution and a soliton solution. As a direct outcome of this decomposition, they establish the asymptotic stability of Dirac solitons within the MTM system.

Keywords

Massive Thirring model / Riemann-Hilbert problem /

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-Steepest descent method')">

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-Steepest descent method / Bäcklund transformation / Asymptotic stability / 17B40 / 17B50

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