General prolongations and (x, t)-depending pseudopotentials for the KdV equation

DOI10.1063/1.526414zbMath0554.35120OpenAlexW2034232766MaRDI QIDQ3217037

Pierre Molino

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526414

zbMATH Keywords

Korteweg-de Vries equationgeometric realizationprolongationsCartan-Ehresmann connectionexterior differential systemsimple analytic pseudopotentialsWahlquist-Estabrook partial Lie algebra

Mathematics Subject Classification ID

Exterior differential systems (Cartan theory) (58A15) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (4)

The Robinson-Trautman type III prolongation structure contains \(K_ 2\) ⋮ Infinite-dimensional Estabrook–Wahlquist prolongations for the sine-Gordon equation ⋮ GEOMETRIC APPROACHES TO PRODUCE PROLONGATIONS FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ⋮ Prolongations to higher jets of Estabrook-Wahlquist coverings for PDE's

Cites Work

• Prolongation structures of nonlinear evolution equations

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