Abstract
We consider the massive Thirring model in the laboratory coordinates and explain how the inverse scattering transform can be developed with the Riemann–Hilbert approach. The key ingredient of our technique is to transform the corresponding spectral problem to two equivalent forms: one is suitable for the spectral parameter at the origin and the other one is suitable for the spectral parameter at infinity. Global solutions to the massive Thirring model are recovered from the reconstruction formulae at the origin and at infinity.
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Acknowledgements
A.S. gratefully acknowledges financial support from the project SFB-TRR 191 “Symplectic Structures in Geometry, Algebra and Dynamics” (Cologne University, Germany).
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Pelinovsky, D.E., Saalmann, A. (2019). Inverse Scattering for the Massive Thirring Model. In: Miller, P., Perry, P., Saut, JC., Sulem, C. (eds) Nonlinear Dispersive Partial Differential Equations and Inverse Scattering. Fields Institute Communications, vol 83. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-9806-7_11
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