An integrable 2-component Camassa-Holm 2-CH shallow water system is studied by using integral bifurcation method together with a translation-dilation transformation. Many traveling wave solutions of nonsingular type and singular type, such as solitary wave solutions, kink wave solutions, loop soliton solutions, compacton solutions, smooth periodic wave solutions, periodic kink wave solution, si...

This lively introduction to the linguistics of Arabic provides students with a concise overview of the language’s structure and its various components: its phonology, morphology, and syntax. Through exercises, discussion points, and assignments built into every chapter, the book presents the Arabic language in vivid and engaging terms, encouraging students to grasp the complexity of its linguis...

The notions of stress and hyperstress are anchored in 3-dimensional continuum mechanics. Within the framework of the 4-dimensional spacetime continuum, stress and hyperstress translate into the energy-momentum and the hypermomentum current, respectively. These currents describe the inertial properties of classical matter fields in relativistic field theory. The hypermomentum current can be spli...

One project in the epistemology of mathematics is to find a defensible account of what passes for mathematical knowledge. This study contributes to this project by examining philosophical theories of mathematics governed by certain basic assumptions. Foremost amongst these is the “linguistic realism” of the title. Roughly put, this is the view that the semantics of mathematical sentences should...

In this thesis, transport of interacting particles is studied in two different physical systems. In the first part, a model for interfacial growth driven by general transport processes is proposed to generalize Laplacian growth such as diffusion-limited aggregation (DLA) and viscous fingering. The fractal properties, crossover in morphology, and relation between continuous and stochastic growth...

and others, the primary goal in the study of partial reduplication has been to construct a theory that insightfully captures the full range of considerations that speakers may invoke in determining how a reduplicant will relate to its base. Given that both phonology and morphology are potentially involved, this has meant two things. First, there has been an attempt to characterize the reduplica...

| Binary tree structures have been very useful in solving divide-and-conquer type of problems. Embedding binary trees into another network|the host network|helps in designing solutions for the host network using the known solutions on binary trees. Embedding arbitrary binary trees into networks, in particular into the hypercube, has been addressed in the literature. The latter was achieved with...

This article presents the use of anisotropic dynamic structuring elements, or amoebas, in order to build content-aware noise reduction filters. The amoeba is the ball defined by a special geodesic distance computed for each pixel, and can be used as a kernel for many kinds of filters and morphological operators.

Motor learning has traditionally been associated with the concept of automaticity. Automaticity refers to the reduction of the cognitive effort required to perform a motor task, as learning progresses. However, there is little detailed consensus in the literature on what the process of automatization actually involves. We measured tracking performance in two groups of participants while either ...

We present decompositions of the rotation curves of three spiral galaxies at redshifts z ∼ 0.7 and 1 into contributions by their bulges, disks, and dark halos, respectively. In order to set constraints on the degeneracy of the decompositions we interpret the morphology of the spiral structures quantitatively in the framework of density wave theory. Galaxy models constrained in such a way show t...