an:06187010
Zbl 1291.35278
Domrin, A. V.
On holomorphic solutions of equations of Korteweg-de Vries type
EN
Trans. Mosc. Math. Soc. 2012, 193-206 (2012); translation from Tr. Mosk. Mat. O.-va 73, No. 2, 241-257 (2012).
00321793
2012
j
35Q53 30B40
soliton equation; holomorphic solution; analytic continuation
Summary: We show that, for any of the equations indicated in the title, every solution locally holomorphic in \( x\) and \( t\) admits global meromorphic continuation in \( x\) for each \( t\) with trivial monodromy at each pole. By way of application, we describe all possible envelops of meromorphy of local holomorphic solutions of the Boussinesq equation.