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SUMMARY:Joseph Krasil'shchik (Independent University of Moscow)
DTSTART:20200930T162000Z
DTEND:20200930T180000Z
DTSTAMP:20260423T010337Z
UID:GDEq/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/14/">No
 nlocal conservation laws of PDEs possessing differential coverings</a>\nby
  Joseph Krasil'shchik (Independent University of Moscow) as part of Geomet
 ry of differential equations seminar\n\nLecture held in room 303 of the In
 dependent University of Moscow.\n\nAbstract\nIn his  1892 paper "Sulla tra
 sformazione di Bäcklund per le superfici pseudosferiche" (Rend. Mat. Acc.
  Lincei\, s. 5\, v. 1 (1892) 2\, pp. 3-12\; Opere\, vol. 5\, pp. 163-173) 
 Luigi Bianchi noticed\, among other things\, that quite simple transformat
 ions of the formulas that describe the Bäcklund transformation of the sin
 e-Gordon equation lead to what is called a nonlocal conservation law in mo
 dern language. Using the techniques of differential coverings [I.S. Krasil
 'shchik\, A.M. Vinogradov\, Nonlocal trends in the geometry of differentia
 l equations: symmetries\, conservation laws\, and Bäcklund transformation
 s\, Acta Appl. Math. 15 (1989) 161-209]\, we show that this observation is
  of a quite general nature. We describe the procedures to construct such c
 onservation laws and present a number of illustrative examples.\n
LOCATION:https://researchseminars.org/talk/GDEq/14/
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