Stanislav Opanasenko - On a class of linearisable Abel equations
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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