A Riemann–Hilbert approach to the modified Camassa–Holm equation with step-like boundary conditions
نویسندگان
چکیده
Abstract The paper aims at developing the Riemann–Hilbert (RH) approach for modified Camassa–Holm (mCH) equation on line with non-zero boundary conditions, in case when solution is assumed to two different constants sides of line. We present detailed properties spectral functions associated initial data Cauchy problem mCH and obtain a representation this terms an RH problem.
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2022
ISSN: ['0026-9255', '1436-5081']
DOI: https://doi.org/10.1007/s00605-022-01786-y