We present new solutions in terms of elementary functions of the multi-component nonlinear Schrödinger equations and known solutions of the Davey-Stewartson equations such as multi-soliton, breather, dromion and lump solutions. These solutions are given in a simple determinantal form and are obtained as limiting cases in suitable degenerations of previously derived algebro-geometric solutions. ...

SHAWN R. NARUM,*† C. ALEX BUERKLE,‡ JOHN W. DAVEY,§ MICHAEL R. MILLER¶ and PAUL A. HOHENLOHE** *Department of Fisheries and Wildlife, University of Idaho, Moscow, ID, USA, †Columbia River Inter-Tribal Fish Commission, Hagerman Fish Culture Experiment Station, Hagerman, ID, USA, ‡Department of Botany, University of Wyoming, Laramie, WY, USA, §Department of Zoology, University of Cambridge, Cambr...

The variational iteration method (VIM) proposed by Ji-Haun He is a new analytical method tosolve linear and nonlinear equation. In this paper, the Variational Iteration Method (VIM) has been applied for solving Davey-Stewartson equations which arise as higher dimensional generalizations of the Nonlinear Shrodinger (NLS) equation, as well as from physical considerations [1]. Comparison the absol...

The TspO outer membrane protein of Rhodobacter sphaeroides has been shown to be involved in controlling the transcription of a number of genes which encode enzymes involved in photopigment biosynthesis and the puc operon. The display of regulated genes appears identical to those genes encompassing the PpsR/AppA repressor/antirepressor regulon, although the effect of TspO is modest relative to t...

tuberculosis in successive decades. Am J Epidemiol 2008;141:790. 41 Kermack WO, McKendrick AG, McKinley PL. Death-rates in Great Britain and Sweden. Some general regularities and their significance. Lancet 1934;31:683–703. 42 Susser M. Commentary: the longitudinal perspective and cohort analysis. Int J Epidemiol 2001;30:684–87. 43 Davey Smith G, Kuh D. Commentary: William Ogilvy Kermack and the...

The possibility of finite-time, dispersive blow up for nonlinear equations of Schrödinger type is revisited. This mathematical phenomena is one of the possible explanations for oceanic and optical rogue waves. In dimension one, the possibility of dispersive blow up for nonlinear Schrödinger equations already appears in [9]. In the present work, the existing results are extended in several ways....

We study the interaction of (slowly modulated) high frequency waves for multi-dimensional nonlinear Schrödinger equations with gauge invariant power-law nonlinearities and non-local perturbations. The model includes the Davey–Stewartson system in its elliptic-elliptic and hyperbolic-elliptic variant. Our analysis reveals a new localization phenomenon for non-local perturbations in the high freq...

The idea that a set may come equipped with a natural ordering on its elements is so basic as to pass by unnoticed by most. However, this belies a wonderful opportunity for unifying the study of many disparate examples of these creatures. Historically, the study of order has led to a great unification of results in algebra and logic. More recently, it has infused into theoretical computer scienc...