Geodesic
On solutions of matrix soliton equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 215 (2023) no. 1, pp. 3-15

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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.
Mots-clés : soliton equations
Keywords: analytic continuation, holomorphic solution. 
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     author = {M. A. Shumkin},
     title = {On solutions of matrix soliton equations},
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     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2023_215_1_a0/}
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M. A. Shumkin. On solutions of matrix soliton equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 215 (2023) no. 1, pp. 3-15. http://geodesic.mathdoc.fr/item/TMF_2023_215_1_a0/