that the symmetries of self-duality equations provide a natural classification scheme for integrable systems; and that twistor theory provides a uniform geometric framework for the study of Backlund transformations, the inverse scattering method, and other such general constructions of integrability theory. The book will be useful to researchers an...
1 Introduction and Main Results The integrability of dispersionless partial differential equations is well known to admit a geometric interpretation. Twistor theory [26, 29] gives a framework to visualize this for several types of integrable systems, as demonstrated by many examples [2, 10, 11, ...
M. 1996 Integrability, self-duality, and twistor theory. Oxford, UK: Oxford University Press.Mason, L. J. and Woodhouse, N. M. 1996 Integrability, Self-Duality, and Twistor Theory, Oxford UP.L. J. Mason and N. M. J. Woodhouse, Integrability, self-duality, and twistor theory, L.M...
that the symmetries of self-duality equations provide a natural classification scheme for integrable systems; and that twistor theory provides a uniform geometric framework for the study of Backlund transformations, the inverse scattering method, and other such general constructions of integrability theory...
INTEGRABILITY, SELF‐DUALITY, AND TWISTOR THEORY (LMS Monographs (N.S.) 15)doi:10.1112/S002460939733416XN. HitchinOxford University PressBulletin of the London Mathematical Society
L. J. Mason and N. M. J. Woodhouse, ``Integrability, Self-Duality and Twistor Theory,'' Oxford Univ. Press, Oxford, 1996.Mason, L.J., & Woodhouse, N.M.J. (1996) Integrability, Self-duality and Twistor theory, LMS Monograph, OUP....
Imposing self-duality is shown to reduce the problem to a sigma model in the curved two-dimensional ( , z) space over the coset spaces G/G for the full, and G /K for the reduced ansatz. G is the complexification of G. is a particular non-compact form of G, and K the local ...