Singular Miura type initial profiles for the KdV equation

Details Singular Miura type initial profiles for the KdV equation Singular Miura type initial profiles for the KdV equation

2011-08-11

arxiv.org/abs/1108.2314v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages

Scientific paper

We show that the KdV flow evolves any real singular initial profile q of the
form q=r'+r^2, where r\inL_{loc}^2, r|_{R_+}=0 into a meromorphic function with
no real poles.

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