55 citations · 63 across the 3 of their papers we have counts for
7 papers · 1 filter
Ternary Virasoro - Witt Algebra
Thomas L Curtright, David B Fairlie, Cosmas K Zachos
A 3-bracket variant of the Virasoro-Witt algebra is constructed through the use of su(1,1) enveloping algebra techniques. The Leibniz rules for 3-brackets acting on other 3-bracket…
Euler Incognito
Thomas L. Curtright, David B. Fairlie
The nonlinear flow equations discussed recently by Bender and Feinberg are all reduced to the well-known Euler equation after change of variables.
The Multi-field Complex Bateman Equation
D. B. Fairlie
The multi-field generalisation of the Bateman equation arises from considerations of the continuation of String and Brane equations to the case where the base space is of higher di…
Brane-wave Duality
L. M. Baker, D. B. Fairlie
The quantum mechanical transition between a free particle Lagrangian and the Klein Gordon field description of a free particle (particle wave duality) is conjectured to extend to a…
Equations with infinitely many Lagrangians
D. B. Fairlie
Necessary conditions for a field theoretic equation of motion to be the consequence of variation of an infinite number of inequivalent Lagrangians are examined.
The Integrable Mapping as the Discrete Group of Inner Symmetry of Integrable Systems
D. B. Fairlie, A. N. Leznov
It is shown that each integrable mapping is connected with a hierarchical completely integrable sytem of equations of evolution type which are invariant with respect to the transfo…