Prolongation structures for supersymmetric equations

DOI10.1088/0305-4470/23/22/007zbMath0734.35116OpenAlexW2120234038MaRDI QIDQ3361295

N. W. van Den Hijligenberg, G. H. M. Roelofs

Publication date: 1990

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

Full work available at URL: https://research.utwente.nl/en/publications/prolongation-structures-for-supersymmetric-equations(b84a8e4c-c5a4-4687-bc60-7cee31537758).html

zbMATH Keywords

Korteweg-de Vries equationauto-Bäcklund transformationprolongationKac-Moody Lie superalgebrassupersymmetric evolution equations

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70) Graded Lie (super)algebras (17B70)

Related Items (16)

Four super integrable equations: nonlocal symmetries and applications ⋮ A fully supersymmetric AKNS theory ⋮ A super Sawada-Kotera hierarchy ⋮ Bilinear approach to Kuperschmidt super-KdV type equations ⋮ Supersymmetric extensions of the nonlinear Schrödinger equation: Symmetries and coverings ⋮ A supersymmetric generalized NLS equation: linear spectral problems and beyond ⋮ Fermionic prolongation structure of the \(N=1\) supersymmetric nonlocal gas equation ⋮ Prolongation structure of the \(N=2\) supersymmetric KdV equation ⋮ Integrability of fermionic extensions of the Burgers equation. ⋮ Integrability of fermionic extensions of the Korteweg-de Vries equation. ⋮ Graded differential geometry in REDUCE: Supersymmetry structures of the modified KdV equation ⋮ Fermionic covariant prolongation structure theory for multidimensional super nonlinear evolution equation ⋮ On a supersymmetric nonlinear integrable equation in (2+1) dimensions ⋮ Fermionic covariant prolongation structure theory for supernonlinear evolution equation ⋮ Supersymmetric formulation of polytropic gas dynamics and its invariant solutions ⋮ Prolongations to higher jets of Estabrook-Wahlquist coverings for PDE's

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