Classes of exactly solvable nonlinear evolution equations for Grassmann variables: The normal form method
- 1 June 1987
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 28 (6) , 1243-1249
- https://doi.org/10.1063/1.527525
Abstract
A systematic procedure is presented to solve analytically differential equations for Grassmann variables with the most general nonlinearity. The method consists in the reduction of the original equation to its simplest form (normal form). The classes of solvable normal forms are determined only by the structure of the linear part of the original equation and are parametrized in terms of the number of critical eigenvalues.Keywords
This publication has 8 references indexed in Scilit:
- Supersymmetric two-dimensional Toda latticeCommunications in Mathematical Physics, 1983
- Generalized Grassmann algebras with applications to Fermi systemsJournal of Mathematical Physics, 1980
- A generalized prolongation structure and the Bäcklund transformation of the anticommuting massive Thirring modelJournal of Mathematical Physics, 1978
- Particle spin dynamics as the grassmann variant of classical mechanicsAnnals of Physics, 1977
- The classical mechanics for bose-fermi systemsIl Nuovo Cimento A (1971-1996), 1976
- Quantum sine-Gordon equation as the massive Thirring modelPhysical Review D, 1975
- Prolongation structures of nonlinear evolution equationsJournal of Mathematical Physics, 1975
- Non-Wiener functional integralsTheoretical and Mathematical Physics, 1971