Titlebook: Nonlinear Dispersive Partial Differential Equations and Inverse Scattering; Peter D. Miller,Peter A. Perry,Catherine Sulem Book 2019 Sprin

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The Phase Shift of Line Solitons for the KP-II Equationater. Stability of line solitons has been proved by Mizumachi (Mem AMS 238:1125, 2015; Proc R Soc Edinb Sect A 148:149–198, 2018) and it turns out the local phase shift of modulating line solitons are not uniform in the transverse direction. In this paper, we obtain the ..-bound for the local phase

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Inverse Scattering for the Massive Thirring Modeln–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

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