Exact periodic and localized solutions of a nonlocal Mel′nikov equation are derived by the Hirota bilinear method. Many conventional nonlocal operators involve integration over a spatial or temporal domain. However, the present class of nonlocal equations depends on properties at selected far field points which result in a potential satisfying parity time symmetry. The present system of nonlocal partial differential equations consists of two dependent variables in two spatial dimensions and time, where the dependent variables physically represent a wave packet (...) and an auxiliary scalar field. The periodic solutions may take the forms of breathers and line solitons. The localized solutions can include propagating lumps and rogue waves. These nonsingular solutions are obtained by appropriate choice of parameters in the Hirota expansion. Doubly periodic solutions are also computed with elliptic and theta functions. In sharp contrast with the local Mel′nikov equation, the auxiliary scalar field in the present set of solutions can attain complex values. Through a coordinate transformation, the governing equation can reduce to the Schrödinger–Boussinesq system. (shrink)
Based on bilinear formulation of a -dimensional soliton equation, lump solution and related interaction solutions are investigated. The lump solutions of the soliton equation are classified into three cases with nonsingularity conditions being given. The interaction solutions between lump and a stripe soliton are obtained in eight cases, which have interesting fusing and fission behaviors with changing time. The interaction solutions of the soliton equation between a lump and a resonant pair of stripe solitons are also given, and we find (...) that the lump just exist for a finite period during the interaction process. (shrink)
Awareness is a personal experience, which is only accessible to the rest of world through interpretation. We set out to identify a neural correlate of visual awareness, using brief subliminal and supraliminal verbal stimuli while measuring cerebral blood flow distribution with H215O PET. Awareness of visual verbal stimuli differentially activated medial parietal association cortex (precuneus), which is a polymodal sensory cortex, and dorsolateral prefrontal cortex, which is thought to be primarily executive. Our results suggest participation of these higher order perceptual (...) and executive cortical structures in visual verbal awareness. (shrink)
Stéphane Michaud, après une longue et minutieuse enquête dans des fonds enfin délivrées de la censure des descendants et dans les archives freudiennes récemment disponibles, nous invite à découvrir ou à re découvrir Lou Andreas-Salomé (1861-1937). Celle que, trop souvent, on ne connaît qu'à travers les hommes célèbres dont elle a croisé le chemin Nietzsche, Rilke, Freud est ici « objet » d'histoire à part entière. Sans bouder l'érudition pure on découvre avec étonnement les très ..
In ‘Utility of Religion’, Mill argues that a wholly naturalistic religion of humanity would promote individual and social welfare better than supernatural religions like Christianity; in ‘Theism’, however, Mill defends the salutary effects of hope in an afterlife. While commentators have acknowledged this discrepancy, they have not examined the utilitarian value of what Mill terms ‘illusions’. In this essay, I explain Mill's case against the utility of supernatural religious belief and then argue that Mill cannot dismiss the utility of hope (...) in an ultimate justice since it need not pervert the intellect or morality. There are thus utilitarian grounds to support some supernatural illusions, which undermines Mill's defence of an exclusively naturalistic religion. I conclude with the suggestion that while the utility of religious belief leads Mill toward William James's view, they disagree about whether supernatural religious sentiment has any unique, intrinsic force. (shrink)
This article is driven by death. Thematically, death serves as a figure in the central creative works I discuss: Samuel R. Delany's sword-and-sorcery novella The Tale of Plagues and Carnivals, one of the first novels to deal directly with the AIDS pandemic,1 and Lou Reed's songs, especially the proto-punk "Heroin" and the queer soul song "Coney Island Baby." Meanwhile, the argument's methodology also concerns death. As many theorists and critics have discussed,2 the field of queer studies has seen, for at (...) least the past few decades, a general division between a methodology that isolates queerness as a singularly significant figure of identity and a more intersectional queer studies that figures sexuality within a... (shrink)