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SUMMARY:S. V. Meleshko (School of Mathematics\, Institute of Science\, Sur
 anaree University of Technology\, Nakhon Ratchasima\, Thailand)
DTSTART:20211223T110000Z
DTEND:20211223T120000Z
DTSTAMP:20260423T041339Z
UID:mmandim/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/mmandim/32/"
 >A Method for Finding Reciprocal Transformations</a>\nby S. V. Meleshko (S
 chool of Mathematics\, Institute of Science\, Suranaree University of Tech
 nology\, Nakhon Ratchasima\, Thailand) as part of Mathematical models and 
 integration methods\n\n\nAbstract\nEquivalence transformations play one of
  the important roles in continuum mechanics. These transformations reduce 
 the original equations to simpler forms. One of the classes of nonlocal eq
 uivalence transformations is the class of reciprocal transformations. Desp
 ite the long history of applications of such transformations in continuum 
 mechanics\, there is no method of obtaining them. Recently such a method w
 as proposed. The method uses group analysis approach and it consists of si
 milar steps as for finding equivalence group of transformations. The new m
 ethod provides a systematic tool for finding classes of reciprocal transfo
 rmations (reciprocal equivalence group of transformations). Similar to the
  classical group analysis this approach can be also applied for finding al
 l discrete reciprocal transformations (not only composing a group). For an
  illustration the method is demonstrated by several models applied in hydr
 odynamics. The author is very thankful to Professor Colin Rogers for attra
 cting my attention to reciprocal transformations.\n
LOCATION:https://researchseminars.org/talk/mmandim/32/
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