1,763,600 research outputs found
Yang-Baxter maps and the discrete KP hierarchy
We present a systematic construction of the discrete KP hierarchy in terms of Sato–Wilson-type shift operators. Reductions of the equations in this hierarchy to 1+1-dimensional integrable lattice systems are considered, and the problems that arise with regard to the symmetry algebra underlying the reduced systems as well as the ultradiscretizability of these systems are discussed. A scheme for constructing ultradiscretizable reductions that give rise to Yang–Baxter maps is explained in two explicit examples
Solving bi-directional soliton equations in the KP hierarchy by gauge transformation
We present a systematic way to construct solutions of the (n = 5)-reduction of the BKP and CKP hierarchies from the general τ function τn+k of the KP hierarchy. We obtain the one-soliton, two-soliton, and periodic solution for the bi-directional Sawada-Kotera (bSK), the bi-directional Kaup-Kupershmidt (bKK) and also the bi-directional Satsuma-Hirota (bSH) equation. Different solutions such as left- and right-going solitons are classified according to the symmetries of the 5th roots of eiε. Furthermore, we show that the soliton solutions of the n-reduction of the BKP and CKP hierarchies with n = 2j+1, j = 1,2,3,..., can propagate along j directions in the 1+1 space-time domain. Each such direction corresponds to one symmetric distribution of the nth roots of eiε. Based on this classification, we detail the existence of two-peak solitons of the n-reduction from the Grammian τ function of the sub-hierarchies BKP and CKP. If n is even, we again find two-peak solitons. Last, we obtain the ``stationary" soliton for the higher-order KP hierarchy
Effect of KP phosphinic peptides on Sulfo-Cy<sup>5</sup>-KP-18-induced internalisation of kisspeptin receptor.
MCF-7 cells transiently expressing kisspeptin receptor were co-incubated with 50 nM of Sulfo-Cy5-KP-18 and vehicle (control), different concentrations of KP-10 (black bars), PKPS (white bars) or PKPR (grey bars) respectively for 30 minutes. The internalisation of Sulfo-Cy5-KP-18 was normalised as percentage of that (control) measured in the absence of KP-10 (vehicle only). The data represent the mean percentage-changes of four independent experiments. *, P P P < 0.005, compared with the control.</p
kp-gith/SimDCIS: SimDCIS v1.0.0
<p>Original version of the SimDCIS model. Created 2024.</p>
KP-LAB Knowledge Practices Laboratory -- Stakeholders analysis
deliverablesThe aim of this report is, first of all, to present the KP-Lab approach toward stakeholders in the wider framework of European policies. Secondly, the KP-Lab definition of stakeholders and the strategy to address different stakeholders needs, concerns and expectations is presented in the following paragraphs. The second chapter presents concrete examples of stakeholders involvement in the KP-Lab project. The third chapter proposes a tool for self-assessing stakeholders awareness to be used by KP-Lab project partners and any researcher interested in improving its consideration of stakeholders needs, concerns and expectations. Finally, some conclusions and recommendations are presented
Binding of Sulfo-Cy<sup>5</sup>-KP-18 to kisspeptin receptor.
HEK293 cells were transiently transfected with kisspeptin receptor and cultured for 48 hours. The cells were then incubated with increasing concentrations of Sulfo-Cy5-KP-18 at 4°C for 4 hours. Total binding of Sulfo-Cy5-KP-18 was measured by fluorescence intensity after washing off free ligand. Non-specific binding was determined in the presence of 10 μM KP-10. The mean fold-changes over the basal of the fluorescence intensity ± SD from three independent experiments were calculated and plotted. Specific binding was calculated by subtracting non-specific binding from the total. Total binding (○; dash curve), non-specific binding (□; dot curve) and specific binding (▲; solid curve).</p
Feeling Numbers: KP Brehmer and the Supermarket
A publication that documents the presentation of To refuse/To wait/To sleep and M&A beginning on January 12, 2017, and continuing until complete. Jamie Hilder contributes an essay about KP Brehmer.final article publishe
Two-peak soliton in the CKP hierarchy
We present a systematic approach to the construction of soliton solutions for the 5-reduction of the C-type sub-hierarchy for the Kadomtsev–Petviashvili (CKP) hierarchies starting from the general τ-function τ(n+k) of the Kadomtsev–Petviashvili (KP) hierarchy. We obtain the one-soliton and two-soliton solutions for the bi-directional Kaup–Kupershmidt (bKK) equation, i.e. the 5-reduction of CKP hierarchy
Polynomial tau-functions of the KP, BKP, and the s -component KP hierarchies
© 2021 Author(s). We show that any polynomial tau-function of the s-component KP and the BKP hierarchies can be interpreted as a zero-mode of an appropriate combinatorial generating function. As an application, we obtain explicit formulas for all polynomial tau-functions of these hierarchies in terms of Schur polynomials and Q-Schur polynomials, respectively. We also obtain formulas for polynomial tau-functions of the reductions of the s-component KP hierarchy associated with partitions in s parts
Neutralization of SARS-CoV-2 KP.1, KP.1.1, KP.2 and KP.3 by human and murine sera
Abstract We report SARS-CoV-2 KP.1, KP.1.1, KP.2 and KP.3 neutralizing antibody titers. They displayed increased immune evasion compared to JN.1, especially KP.1 and KP.3, for participants who experienced BF.7/BA.5.2 breakthrough infection or received bivalent (delta/BA.5) vaccine boosting. Second XBB sub-variants breakthrough infection enhanced the neutralization responses. HK.3-JN.1 RBD-heterodimer induced balanced and potent neutralizing responses against recently-circulating SARS-CoV-2 sub-variants in mice, supporting to replace the COVID-19 antigen containing JN.1 or its sub-variants
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