Fermionic covariant prolongation structure theory for multidimensional super nonlinear evolution equation

DOI10.1063/1.4795405zbMath1291.37100OpenAlexW2093039970MaRDI QIDQ5397780

Ke Wu, Zhao-Wen Yan, Minli Li, Wei-Zhong Zhao

Publication date: 24 February 2014

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

Full work available at URL: https://doi.org/10.1063/1.4795405

zbMATH Keywords

nonlinear Schrödinger equationnonlinear evolution equationsLax representationBäcklund transformationfermionic covariant prolongation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Supersymmetry and quantum mechanics (81Q60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (7)

Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system ⋮ On the Generalized Heisenberg Supermagnetic Model ⋮ (2+1)-dimensional supersymmetric integrable equations ⋮ (2 + 1)-Dimensional generalized third-order Heisenberg supermagnet model ⋮ Fermionic covariant prolongation structure theory for a (2+1)-dimensional super nonlinear evolution equation ⋮ On a supersymmetric nonlinear integrable equation in (2+1) dimensions ⋮ On a integrable deformations of Heisenberg supermagnetic model

Cites Work

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• Continual classical Heisenberg models defined on graded su(2,1) and su(3) algebras
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• Fermionic covariant prolongation structure theory for supernonlinear evolution equation
• Nonlinear \((2+1)\)-dimensional field equations from incomplete Lie algebra structures

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