Linearizable Abel equations and the Gurevich–Pitaevskii problem

Applying symmetry reduction to a class of SL(2,R)$\mathrm{SL}(2,\mathbb {R})$‐invariant third‐order ordinary differential equations (ODEs), we obtain Abel equations whose general solution can be parameterized by hypergeometric functions. Particular case of this construction provides a general parame...

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Veröffentlicht in:	Studies in applied mathematics (Cambridge) 2023-04, Vol.150 (3), p.607-628
Hauptverfasser:	Opanasenko, Stanislav, Ferapontov, Evgeny V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abel equation Asymptotic series asymptotic solution Differential equations group invariant group reduction Gurevich‐Pitaevskii problem hypergeometric function Hypergeometric functions KdV equation Kudashev equation Mathematical analysis symmetry
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