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| The Asymptotic Stability of Dirac Solitons in the Massive Thirring Model |
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Citation： |
Ruihong MA,Engui FAN.The Asymptotic Stability of Dirac Solitons in the Massive Thirring Model[J].Chinese Annals of Mathematics B,2026,(1):35~58 |
| Page view： 205
Net amount： 107 |
Authors： |
Ruihong MA; Engui FAN |
Foundation： |
National Natural Science Foundation of China (Nos. 12271104, 51879045) |
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| Abstract： |
In this paper, the authors employ the ??-steepest descent method and B?cklund transformation to investigate the asymptotic stability of Dirac solitons for the massive Thirring model. Starting from a Riemann–Hilbert problem formulation, they rigorously analyze the long-time behavior of solutions with initial data close to a soliton profile. It is proved that such solutions decompose into a stable soliton and a dispersive radiation part that decays in time, thereby establishing the asymptotic stability of Dirac solitons in the energy space. |
Keywords： |
Massive Thirring model Riemann-Hilbert problem ∂-Steepest descent method Bäcklund transformation Asymptotic stability |
Classification： |
17B40, 17B50 |
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