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On holomorphic solutions of equations of Korteweg-de Vries type. (English. Russian original) Zbl 1291.35278
Trans. Mosc. Math. Soc. 2012, 193-206 (2012); translation from Tr. Mosk. Mat. O.-va 73, No. 2, 241-257 (2012).
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.

##### MSC:
 35Q53 KdV equations (Korteweg-de Vries equations) 30B40 Analytic continuation of functions of one complex variable
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##### References:
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