Results 91 to 100 of about 7,942,123 (324)

Studying Lump solutions, Rogue wave solutions and dynamical interaction for new model generating from lax pair

, 2020
In this paper, we consider the (3 + 1)-dimensional Burgers-like equation which arises in fluid mechanics, which constructed from Lax pair generating technique. The bilinear form for this model is obtained to construct the multiple-kink solutions.
M. K. Elboree
core   +1 more source

Validation of the Pediatric Arthritis Ultrasound Scoring System for the Elbow, Wrist, and Finger Joints in Children With Juvenile Idiopathic Arthritis

Arthritis Care &Research, EarlyView.
Objective We aimed to validate the Pediatric Arthritis Ultrasound Scoring System (PAUSS) for upper extremity joints in children with juvenile idiopathic arthritis (JIA). Methods Children with JIA were evaluated for elbow, wrist, or finger arthritis by clinical examination (CE) and musculoskeletal ultrasound (MSUS) with images scored according to the ...
Patricia Vega‐Fernandez, Pinar Ozge Avar‐Aydin, Kelly Rogers, Daniel J. Lovell, Jennifer Huggins, Alexei Grom, Hermine I. Brunner, Grant S. Schulert, Sheila T. Angeles‐Han, Mekibib Altaye, Amy Cassedy, Arthur B. Meyers, Tracy V. Ting   +12 more
wiley   +1 more source

Soliton, breather, lump and their interaction solutions of the ( 2+1 $2+1$)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation

Advances in Difference Equations, 2019
In this work, the ( 2+1 $2+1$)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation is investigated. Hirota’s bilinear method is used to determine the N-soliton solutions for this equation, from which the M-lump solutions are obtained by using long ...
Yaqing Liu, Xiao-Yong Wen
doaj   +1 more source

High-Order Breather Solutions, Lump Solutions, and Hybrid Solutions of a Reduced Generalized (3 + 1)-Dimensional Shallow Water Wave Equation

, 2020
We investigate a reduced generalized (3 + 1)-dimensional shallow water wave equation, which can be used to describe the nonlinear dynamic behavior in physics. By employing Bell’s polynomials, the bilinear form of the equation is derived in a very natural
Biao Li, Jing Wang
core   +1 more source

Clinical Practice Guideline for Evaluation and Management of Peripheral Nervous System Manifestations in Sjögren's Disease

Arthritis Care &Research, EarlyView.
Objective Sjögren's disease is an autoimmune disorder that can impact multiple organ systems, including the peripheral nervous system (PNS). PNS manifestations, which can exist concurrently, include mononeuropathies, polyneuropathies, and autonomic nervous system neuropathies.
Anahita Deboo, Robert Fox, Katherine M. Hammitt, Julie Frantsve‐Hawley, Matthew C. Baker, Stamatina Danielides, Eduardo De Sousa, Brent P. Goodman, Jennifer K. King, Steven Mandel, Ghaith Noaiseh, Pantelis P. Pavlakis, George Sarka, R. Hal Scofield, Arun Varadhachary, Daniel J. Wallace, Matt Makara, Nancy Carteron, Steven Carsons, in collaboration with the Consensus Expert Panel (CEP) members, G. Alden Adkins, Brittany Adler, Hossein Ansari, Senada Arabelovic, Alan Baer, Denis Balaban, Shamik Bhattacharyya, Evelyn Bromet, Krishna Chaganti, Kamal Chemali, Melissa Cortez, Schartess Culpepper, Paul Dellaripa, Dana Direnzo, Daniel El Bogdadi, Robert Fearon, Mehrnez Fischbach, Judi Furlong, Christopher Gibbons, Rachael Gordon, Thomas Grader Beck, Syed Haider, Larry Hollenbeck, Chadwick R. Johr, Stuart S. Kassan, Brian King, Octavia Kincaid, Eugene Kissin, Vasileios Kyttaris, Lindsay Lally, Brandon M. Law, Janet Lewis, Scott M. Lieberman, Amanda Lusa, Joseph Lutt, Rashmi Maganti, Arthur M. Mandelin, Sara McCoy, Kerry Neall, Timothy Niewold, Anne Louise Oaklander, Ruben A. Peredo‐Wende, Lynn Petruzzi, Mark A. Porter, Guada Respicio Duque, Tania Reyna, Nathaniel M. Robbins, Elliot D. Rosenstein, Laura Rosow, Breanna Ruthrauff, Amit Sachdev, Nora Sandorfi, Sarah Schafer, Elena Schiopu, Chokkalingam Siva, Daniel Small, Sara M. Stern, Lauren Stiles, Susan Stoddard, Jinny Tavee, Donald Thomas, Edward L. Treadwell, Nagagopal Venna, Steven Vernino, Frederick B. Vivino, Brittany Weber, Sepideh Yadollahi, Huiying Yu, Scott Zashin   +88 more
wiley   +1 more source

Lump Solutions of the Modified Kadomtsev-Petviashvili-I Equation

East Asian Journal on Applied Mathematics, 2020
Summary: The modified Kadomtsev-Petviashvili-I equation is studied by the Hirota bilinear method. Certain lump solutions of this equation are found via the ansatz technique. Rational solutions presented include plane bounded lumps, which do not decay in all directions in the space.
Yong, Xuelin, Chen, Yuning, Huang, Yehui, Ma, Wen-Xiu   +3 more
openaire   +1 more source

Use of a Molecular Signature Response Classifier to Inform Treatment Selection Improves Clinical Disease Activity Among Patients with Rheumatoid Arthritis Initiating a Biologic or Targeted Synthetic Disease‐Modifying Antirheumatic Drug

Arthritis Care &Research, EarlyView.
Objective We assessed the effectiveness of PrismRA to improve clinical outcomes among patients with rheumatoid arthritis (RA) initiating treatment with a biologic or targeted synthetic disease‐modifying antirheumatic drug (b/tsDMARD). Methods PrismRA incorporated 19 gene expression features and four clinical features to assess a patient's likelihood of
Fenglong Xie, Timothy Beukelman, Nicholas P. McCormick, Jeffrey R. Curtis   +3 more
wiley   +1 more source

New lump, lump-kink, breather waves and other interaction solutions to the (3+1)- dimensional soliton equation

, 2020
This study investigates the (3+1)-dimensional soliton equation via the Hirota bilinear approach and symbolic computations. We successfully construct some new lump, lump-kink, breather wave, lump periodic, and some other new interaction solutions.
Atangana, Abdon, Yusuf, Abdullahi, Sulaiman, Tukur Abdulkadir   +2 more
core   +1 more source

Formal and Informal Social Care in People With Rheumatic and Musculoskeletal Diseases: A Cross‐Sectional Multicenter Survey

Arthritis Care &Research, EarlyView.
Objective Rheumatic and musculoskeletal diseases (RMDs) are leading causes of physical disability, necessitating support with activities of daily living. This study describes social care received by patients with RMDs in two disparate regions of England: Salford (urban) and Norfolk (rural).
Mehreen Somro, Karen Durrant, William G. Dixon, John McBeth, Alex MacGregor, Max Yates, Jenny H. Humphreys   +6 more
wiley   +1 more source

A class of lump solutions for ito equation

Thermal Science, 2019
In this paper, we investigate the exact solutions for the (1+1)-D Ito equation. Some lump solutions are obtained by using Hirota?s bilinear method, and the conditions to guarantee analytical and rational localization of the lump solutions are presented. Suitable choices of the involved parameters guaranteeing analyticity of the solution are
Hongcai Ma, Xiangmin Meng, Hanfang Wu, Aiping Deng   +3 more
openaire   +2 more sources