In this paper, we determine all of connected normal edge-transitive Cayley graphs on non-abelian groups with order $4p^2$, where $p$ is a prime number.

We find soliton-like solutions in a particular case of non-abelian loop Toda equations associated with general linear groups. We use the formalism of rational dressing based on appropriate block-matrix representation suggested by the Z-gradation under consideration. We present solutions in a form of a direct matrix generalization of the Hirota’s soliton constructions already well-known for the ...

In this note, we construct an array of non-singular Sp (where p = D − 4) branes in arbitrary D dimensions starting from static solutions of black p brane. These solutions carry nontrivial time dependent profiles of dilaton and associated form fields. We also study other non-singular time dependent configurations. These are obtained from proper analytic continuations of non-extremal diholes. E-m...