Classes of exactly solvable nonlinear evolution equations for Grassmann variables: The normal form method

DOI10.1063/1.527525zbMath0637.15020OpenAlexW2057167179MaRDI QIDQ3778122

Christian Elphick

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527525

zbMATH Keywords

constant magnetic fieldnonlinear evolution equationscritical eigenvaluesHamilton's equationsanalytically differential equations for Grassmann variablesinfinite complex Grassmann algebra with involutioninteracting fermionic oscillatorsisospin-isospin type interactionsolvable normal forms

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Exterior algebra, Grassmann algebras (15A75) Equations in function spaces; evolution equations (58D25)

Related Items (4)

Grassmann-valued fluid dynamics ⋮ Group invariant solutions for the N=2 super Korteweg–de Vries equation ⋮ Computation of Lie supersymmetries for the supersymmetric two bosons equations ⋮ GLie: A MAPLE program for Lie supersymmetries of Grassmann-valued differential equations

Cites Work

• Supersymmetric two-dimensional Toda lattice
• Particle spin dynamics as the Grassmann variant of classical mechanics
• Generalized Grassmann algebras with applications to Fermi systems
• Prolongation structures of nonlinear evolution equations
• A generalized prolongation structure and the Bäcklund transformation of the anticommuting massive Thirring model

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