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Symmetries of supersymmetric integrable hierarchies of KP type
This article is devoted to the systematic study of additional (non-isospectral) symmetries of constrained (reduced) supersymmetric integrable hierarchies of KP type—the so-called SKP(R;MB,MF) models.Expand
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Effects of cognitive load on semantic priming in patients with schizophrenia.
Schizophrenic and control participants received 2 blocks of trials in each experiment. In 1 block they were exposed to regular priming trials (doctor-nurse), and in another block a nonlexical probeExpand
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Virasoro symmetry of constrained KP hierarchies
Abstract The conventional formulation of additional nonisospectral sysmmetries for the full Kadomtsev-Petviashvili (KP) integrable hierarchy is not compatible with the reduction to the importantExpand
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Supersymmetric Kadomtsev-Petviashvili hierarchy: ''Ghost'' symmetry structure, reductions, and Darboux-Backlund solutions
This paper studies Manin–Radul supersymmetric Kadomtsev–Petviashvili hierarchy (MR-SKP) in three related aspects: (i) We find an infinite set of additional (“ghost”) symmetry flows spanning the sameExpand
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Black holes, gravitational waves and fundamental physics: a roadmap
The grand challenges of contemporary fundamental physics—dark matter, dark energy, vacuum energy, inflation and early universe cosmology, singularities and the hierarchy problem—all involve gravityExpand
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Stable Emergent Universe -- A Creation without Big-Bang
Based on an earlier introduced new class of generalized gravity-matter models defined in terms of two independent non-Riemannian volume forms (alternative generally covariant integration measureExpand
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Unified dark energy and dust dark matter dual to quadratic purely kinetic K-essence
We consider a modified gravity plus single scalar-field model, where the scalar Lagrangian couples symmetrically both to the standard Riemannian volume-form (spacetime integration measure density)Expand
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Emergent cosmology, inflation and dark energy
A new class of gravity–matter models defined in terms of two independent non-Riemannian volume forms (alternative generally covariant integration measure densities) on the space–time manifold areExpand
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Bäcklund and Darboux Transformations. The Geometry of Solitons
We show that any multi-component matrix KP hierarchy is equivalent to the standard onecomponent (scalar) KP hierarchy endowed with a special infinite set of abelian additional symmetries, generatedExpand
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Method of Squared Eigenfunction Potentials in Integrable Hierarchies of KP Type
Abstract:The method of squared eigenfunction potentials (SEP) is developed systematically to describe and gain new information about the Kadomtsev–Petviashvili (KP) hierarchy and its reductions.Expand
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