The Korteweg-de Vries (KdV) equation, originally derived to describe long waves over shallow water [1,2], has emerged as a paradigm in the theory of solitons and integrable systems
following the pioneering work of Zabusky and Kruskal .
Asymptotical representations and applications to quantum integrable systems
Suzuki, T-systems and Y-systems in integrable systems
Among the topics are the ergodic theory of hyperbolic groups, harmonic maps and integrable systems
, left-orderability and exceptional Dehn surgery on two-bridge knots, the commensurability of knots and L2-unvariants, the number of hyperbolic 3-manifolds of a given volume, and 3-manifolds with Heegaard splittings of distance two.
Owusu is a theoretical physicist by training and, prior to joining SocialFlow, was a researcher studying integrable systems
through matrix methods.
Thus, the existence of discrete-time integrable systems
is a key to design new numerical algorithms.
New developments in algebraic geometry, integrable systems
and mirror symmetry; proceedings.
Bottacin: Poisson structures on Hilbert schemes of points of a surface and integrable systems
, Manuscripta Math.
I have also explored this connection from an integrable systems
point of view, revealing a very precise relation between classical, quantum and stochastic integrability in the context of the Toda lattice and some other integrable systems
Algebraic and geometric aspects of integrable systems
and random matrices; proceedings.
The quaternionic structures of second kind are of great interest in theoretical physics, because they arise in a natural way both in string theory and integrable systems
[2,6,9,14,23] and, consequently, to find new classes of manifolds endowed with structures of this kind is an interesting topic.
of Augsburg in May 2007, these papers include an overview of the underlying geometric functions and structures along with new research about "tt*" geometry and its role in singularity theory, Hodge theory, integrable systems
, matrix models, and Hurwitz spaces.