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SUMMARY:Finite time blowup of complex-valued  solutions of the Korteweg-de
  Vries and  the modified Korteweg-de Vries equations - Fred Weissler (Univ
 ersity of Paris 13)
DTSTART:20120213T170000Z
DTEND:20120213T180000Z
UID:TALK34086@talks.cam.ac.uk
CONTACT:Jonathan Ben-Artzi
DESCRIPTION:We show that there exist complex-valued solutions of the KdV a
 nd mKdV equations which blow up in finite time.  This is accomplished in t
 he case of spatially periodic solutions on the line\, as well as for solut
 ions which decay to zero at infinity. In the former case\, we give an argu
 ment encompassing a large class of solutions.  In the latter case\, we giv
 e an explicit construction based on the\nformulas for the "2-soliton" solu
 tions.
LOCATION:CMS\, MR15
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