Stanislav Opanasenko - On a class of linearisable Abel equations

  • 18 March 2022
  • 14:00-15:00
  • SCH.0.01

Presented by Stanislav Opanasenko (Loughborough University)

Applying symmetry reduction to a class of SL(2,R) -invariant third-order ODEs, we obtain  Abel equations whose general solution can be parametrised by hypergeometric functions. Particular case of this construction provides a general parametric solution to the Kudashev equation, an ODE arising in the asymptotic analysis of a simultaneous solution to the KdV equation and the stationary part of its higher non-autonomous symmetry

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