Another Complex Bateman Equation
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
A further class of complex covariant field equations is investigated. These equations possess several common features: they may be solved, or partially solved in terms of implicit functional relations, they possess an infinite number of inequivalent Lagrangians which vanish on the space of solutions of the equations of motion, they are invariant under linear transformations of the independent variables, and thus are signature-blind and are consequences of first order equations of hydrodynamic type.
Cite
@article{arxiv.math-ph/0112029,
title = {Another Complex Bateman Equation},
author = {D. B. Fairlie},
journal= {arXiv preprint arXiv:math-ph/0112029},
year = {2007}
}
Comments
9 pages, LaTeX2e, to appear in fothcoming Festchrift for H.B. Nielsen