Abstract
We show that all local holomorphic solutions of matrix soliton equations of parabolic type admit an analytic continuation to globally meromorphic functions of a spatial variable. As examples, we consider the matrix Korteweg–de Vries equation and the matrix modified Korteweg–de Vries equation, as well as various versions of the matrix nonlinear Schrödinger equation.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2023, Vol. 215, pp. 3–15 https://doi.org/10.4213/tmf10424.
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Shumkin, M.A. On solutions of matrix soliton equations. Theor Math Phys 215, 457–467 (2023). https://doi.org/10.1134/S0040577923040013
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DOI: https://doi.org/10.1134/S0040577923040013