Results 41 to 50 of about 9,563 (261)

Exact solutions of a (3+1)-dimensional nonlinear evolution equation based on its Wronskian form

Partial Differential Equations in Applied Mathematics, 2022
In this paper, the Hirota bilinear method is applied to investigate the exact solutions of a (3+1)-dimensional nonlinear evolution equation. The soliton, breather and lump solutions satisfying specific Wronskian conditions are obtained.
Yaning Tang, Zaijun Liang
doaj   +1 more source

M-Breather, Lumps, and Soliton Molecules for the 2+1-Dimensional Elliptic Toda Equation

Advances in Mathematical Physics, 2021
The 2+1-dimensional elliptic Toda equation is a higher dimensional generalization of the Toda lattice and also a discrete version of the Kadomtsev-Petviashvili-1 (KP1) equation. In this paper, we derive the M-breather solution in the determinant form for
Yuechen Jia, Yu Lu, Miao Yu, Hasi Gegen
doaj   +1 more source

Pediatric Idiopathic Multicentric Castleman Disease Is Often Severe But Responsive to Siltuximab

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Idiopathic multicentric Castleman disease (iMCD) is a potentially fatal immunologic disorder marked by widespread lymphadenopathy and inflammation. Siltuximab, an interleukin‐6 (IL‐6) inhibitor, is the only FDA‐approved treatment for adult patients with iMCD.
Bridget Austin, Sheila K. Pierson, Kelley C. Dacus, Mateo Sarmiento Bustamante, Saishravan Shyamsundar, Larissa Borys, Kayla McHugh, Abiola Irvine, Yoojin Jo, Adam Bagg, Mary Jo Lechowicz, Daisy Alapat, Amy Chadburn, Megan S. Lim, Gordan Srkalovic, Frits van Rhee, David C. Fajgenbaum, Joshua D. Brandstadter   +17 more
wiley   +1 more source

Bifurcation solitons, Y-type, distinct lumps and generalized breather in the thermophoretic motion equation via graphene sheets

Alexandria Engineering Journal
Learned from wrinkle wave motions, we concentrated on bifurcation phenomena in substrate-supported graphene sheets by obtaining the bifurcation solitons of thermophoretic motion equation.
Aly R. Seadawy, Ali Ahmad, Syed T.R. Rizvi, Sarfaraz Ahmed   +3 more
doaj   +1 more source

A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation

Complexity, 2019
Based on bilinear formulation of a (3 + 1)-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 ...
Xi-zhong Liu, Zhi-Mei Lou, Xian-Min Qian, Lamine Thiam   +3 more
doaj   +1 more source

A new extended (2+1)-dimensional Kadomtsev–Petviashvili equation with N-solitons, periodic solutions, rogue waves, breathers and lump waves

Results in Physics, 2022
In this work, a new extended integrable (2+1)-dimensional Kadomtsev–Petviashvili equation is proposed and investigated, which models slowly varying perturbation wave in dispersion fluids.
Lingfei Li, Yingying Xie, Yongsheng Yan, Mancang Wang   +3 more
doaj   +1 more source

Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential

FEBS Letters, EarlyView.
Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta, Hari Baskar Balasubramanian, Amir Pasokh, Marietta Zille   +3 more
wiley   +1 more source

Autophagy and mitophagy in pancreatic β‐cell homeostasis and their involvement in diabetes pathophysiology

FEBS Letters, EarlyView.
This review focuses on the role of autophagy and mitophagy in maintaining pancreatic β‐cell function and homeostasis. We discuss how genetic defects affecting these pathways contribute to the development of type 1, type 2, monogenic, and gestational diabetes. We further explore their potential as therapeutic targets. Created in BioRender.
Yunkyeong Lee, Mingming Tong, Anna L. Gloyn   +2 more
wiley   +1 more source

Evolution of lump solutions for the KP equation [PDF]

Wave Motion, 1996
Abstract The two (space)-dimensional generalisation of the Korteweg-de Vries (KdV) equation is the Kadomtsev-Petviashvili (KP) equation. This equation possesses two solitary wave type solutions. One is independent of the direction orthogonal to the direction of propagation and is the soliton solution of the KdV equation extended to two space ...
Minzoni, A. A., Smyth, N. F.
openaire   +1 more source

Line Soliton Interactions for Shallow Ocean Waves and Novel Solutions with Peakon, Ring, Conical, Columnar, and Lump Structures Based on Fractional KP Equation

Advances in Mathematical Physics, 2021
It is well known that the celebrated Kadomtsev-Petviashvili (KP) equation has many important applications. The aim of this article is to use fractional KP equation to not only simulate shallow ocean waves but also construct novel spatial structures ...
Bo Xu, Yufeng Zhang, Sheng Zhang
doaj   +1 more source