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Titlebook: Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics; W. I. Fushchich,W. M. Shtelen,N. I. Serov Book 1993

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Systems of PDEs Invariant Under Galilei Group,f linear and nonlinear Sch(1,3)-invariant systems of PDEs is described. Lame equations are studied: superalgebra of symmetry is found and a Galilei-invariant generalization is constructed. Gas dynamics and Navier-Stokes equations are considered. Exact solutions of some enumerated above equations are found.
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ons insofar as fields with any spin may be constructed from spin s = 1/2 fields. A brief account of the main ideas of the book is presented in the Introduction. The book is largely based on the authors‘ works [55-109, 176-189, 13-16, 7*-14*,23*, 24*] carried out in the Institute of Mathematics, Acad
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cy after seven consecutive doses. This difference between nitrazepam and lormetazepam was significant. Further analyses showed nitrazepam consistently to be associated with impaired accuracy at both intermediate and high levels of task complexity. Lormetazepam, on the other hand, was associated with
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W. I. Fushchich,W. M. Shtelen,N. I. Serovd in a double-blind fashion. Each subject was studied for 14 consecutive nights in the sleep laboratory. The drug was administered for seven consecutive nights which were preceded by a placebo baseline and followed by a placebo period of drug withdrawal. On each laboratory night subjects were monito
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W. I. Fushchich,W. M. Shtelen,N. I. Serovg. Some neuropeptides such as orexin, leptin, ghrelin, etc. are also involved in the modulation of the affective attribute of appetitive conditioning tasks. In addition, a large number of studies consistently revealed the role of sleep in a variety of learning tasks such as declarative memory, proce
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W. I. Fushchich,W. M. Shtelen,N. I. Serovspecially warranted. Disentangling when, how, and why personality and sleep are related across time span and developmental period, and whether personality and sleep are associated using multimethod measures of each, will provide insight into causal models linking personality and consequential outcom
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t from increased focus on circadian rhythmicity in a family context and from employing research designs that determine directionality. Moreover, sleep characteristics are one way that relationships influence health. Thus, examining relationship factors and sleep may help identify targets for improvi
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