Nonlinear \((2+1)\)-dimensional field equations from incomplete Lie algebra structures

DOI10.1016/S0370-2693(02)01496-XzbMath1039.81528arXivnlin/0311018OpenAlexW2033329391WikidataQ115339117 ScholiaQ115339117MaRDI QIDQ5960902

Ekkehart Winterroth, Marcella Palese

Publication date: 17 April 2002

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0311018

zbMATH Keywords

admissible Bäcklund mapmulti-dimensional prolongation structuresthree-wave resonant interactions

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items

Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system ⋮ Bäcklund loop algebras for compact and noncompact nonlinear spin models in \(2+1\) dimensions ⋮ Topological obstructions in Lagrangian field theories, with an application to 3D Chern–Simons gauge theory ⋮ Fermionic covariant prolongation structure theory for multidimensional super nonlinear evolution equation ⋮ Fermionic covariant prolongation structure theory for a (2+1)-dimensional super nonlinear evolution equation ⋮ Integrability of a coupled KdV system: Painlevé property, Lax pair and Bäcklund transformation

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