BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Nikolay  A. Kudryashov (MEPhI\, Moscow)
DTSTART:20221110T110000Z
DTEND:20221110T120000Z
DTSTAMP:20260423T005822Z
UID:mmandim/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/mmandim/46/"
 >From the Painlevet test to methods for constructing analytical solutions 
 of nonlinear ODEs</a>\nby Nikolay  A. Kudryashov (MEPhI\, Moscow) as part 
 of Mathematical models and integration methods\n\n\nAbstract\nThe applicat
 ion of the Painlevet test to analyze nonlinear ordinary differential equat
 ions is discussed. A brief review of classical works by S. V. Kovalevskaya
  on solving the problem of motion of a rigid body with a fixed point and w
 orks by P. Penleve on the classification of one class of second-order equa
 tions is given. The well-known example of the Korteweg–de Vries equation
  taking into account the traveling wave solutions illustrates the Painleve
 t property for a nonlinear oscillator. Special attention is paid to non-in
 tegrable partial differential equations such as the Korteweg–de Vries–
 Burgers equation and the Kuramoto–Sivashinsky equation. Using traveling 
 wave solutions\, the construction of analytical solutions to these equatio
 ns is illustrated. Possible applications of the simplest equations method 
 for constructing analytical solutions of non-integrable differential equat
 ions are discussed. The application of the method for constructing optical
  solitons of a generalized nonlinear Schrodinger equation of unrestricted 
  order with nonlinearity in the form of a polynomial is illustrated.\n
LOCATION:https://researchseminars.org/talk/mmandim/46/
END:VEVENT
END:VCALENDAR