Abstract The exact traveling wave solutions of generalized Davey-Stewartson equations with arbitrary power nonlinearities are studied using the dynamical system and first integral methods. Taking different parameter conditions, we obtain periodic solutions, solitary kink anti-kink solutions.

An algebraic structure is finitely related (has finite degree) if its term functions are determined by some finite set of finitary relations. We show that the following finite semigroups are finitely related: commutative semigroups, 3-nilpotent monoids, regular bands, semigroups with a single idempotent, and Clifford semigroups. Further we provide the first example of a semigroup that is not fi...

Flow cytometry is a technique whose development has been driven by studies of human, mainly clinically-relevant, cell types. Nonetheless, it has found many applications in the analysis of bacteria (reviewed in Davey and Kell 1996 and Winson and Davey 2000). The small size and correspondingly lower amounts of cellular constituents pushes bacterial cells to the limit of detection of many commerci...

We prove that the Davey-Stewartson approximation (which degenerates into a cubic Schrödinger equation in 1D) furnishes a good approximation for the exact solution of a wide class of quadratic hyperbolic systems. This approximation remains valid for large times of logarithmic order. We also consider the general case where the polarized component of the mean field needs not to be well-prepared. T...

Manuela Campanelli, Gaurav Khanna, Pablo Laguna, Jorge Pullin, Michael P. Ryan 1. Albert-Einstein-Institut, Max-Planck-Institut für Gravitationsphysik, Am Mühlenberg 1, D-14476 Golm, Germany 2. Center for Gravitational Physics and Geometry, Department of Physics, The Pennsylvania State University, 104 Davey Lab, University Park, PA 16802. 3. Natural Science Division, Southampton College of Long...