We prove that Mathieu’s N = 2 supersymmetric Korteweg–de Vries equations with a = 1 or 4 admit Hirota’s n-supersoliton solutions, whose nonlinear interaction does not produce any phase shifts. For initial profiles that can not be distinguished from a one-soliton solution at times t ≪ 0, we reveal the possibility of a spontaneous decay and, within a finite time, transformation into a solitonic s...

The time fractional diffusion equation is obtained from the standard diffusion equation by replacing the first-order time derivative with a fractional derivative of order β ∈ (0, 1) . The fundamental solution for the Cauchy problem is interpreted as a probability density of a selfsimilar non-Markovian stochastic process related to a phenomenon of subdiffusion (the variance grows in time sub-lin...

In this paper we will study quantum field theory of fluctuation modes around the rolling tachyon solution on non-BPS D-brane effective action. The goal of this paper is to study particle production during the decay of non-BPS D-brane and explore possible relation with minisuperspace calculation. We find that the number of particles produced on half S-brane exponentially grows for large time whi...

A method is introduced to track the object’s motion and estimate its pose from multiple cameras. We focus on direct estimation of the 3D pose from 2D image sequences. We derive a distributed solution that is equivalent to the centralized pose estimation from multiple cameras. Moreover, we show that, by using a proper rotation between each camera and a fixed camera view, we can rely on independe...

In this issue of Molecular Pharmacology, Hahn et al. (p. 457) present a study of previously uncharacterized single amino acid variants of the human norepinephrine transporter. Intracellular trafficking, surface expression, transport properties, interaction with antagonists, and regulation by a protein kinase C-linked regulatory pathway were studied by heterologous expression in COS-7 cells. In ...