Results 51 to 60 of about 998,269 (325)

A New Integrable Nonlinear Evolution Equation [PDF]

Progress of Theoretical Physics, 1980
Summary: We show that a new integrable nonlinear evolution equation \(iq_ t+(q/\sqrt{1+| q| ^ 2})_ {xx}=0\) is solved exactly by the inverse scattering method. From the Gelfand-Levitan equation, a one-soliton solution is obtained. It is found that a one-soliton solution has two interesting limits, a small amplitude soliton and a bursting soliton.
Shimizu, Toru, Wadati, Miki
openaire   +2 more sources

Sarilumab in Polyarticular‐Course Juvenile Idiopathic Arthritis: Dose‐Finding and 1‐Year Analysis of a Phase 2b, Open‐Label, Multicenter Study

Arthritis Care &Research, EarlyView.
Objective This study assessed sarilumab in treating patients with polyarticular‐course juvenile idiopathic arthritis (pcJIA). Methods This phase 2b, open‐label study (NCT02776735) consisted of three sequential parts (each with a core‐treatment and extension phase).
Fabrizio De Benedetti, Inmaculada C. Penadés, Irina Nikishina, Ivan Foeldvari, Alberto J. Spindler, Anna Kozlova, Nadina Rubio‐Pérez, Pierre Quartier, Zbigniew Żuber, Raul Barria, Daniel Clemente, Gabriel V. Cornejo, Katherine Marzan, Nancy Liu, Christine Xu, Stephen DiMartino, Angeliki Giannelou, Fei Cao‐Ghoul, Bolanle Akinlade, Lydie Baret‐Cormel   +19 more
wiley   +1 more source

On the relations between some well-known methods and the projective Riccati equations

Open Physics, 2020
Solving nonlinear evolution equations is an important issue in the mathematical and physical sciences. Therefore, traditional methods, such as the method of characteristics, are used to solve nonlinear partial differential equations. A general method for
Akçağıl Şamil
doaj   +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

Some nonlinear inequalities and applications [PDF]

, 2010
Sufficient conditions are given for the relation $\lim_{t\to\infty}y(t) = 0$ to hold, where $y(t)$ is a continuous nonnegative function on $[0,1)$ satisfying some nonlinear inequalities.
Hoang, N. S., Ramm, A. G.
core   +4 more sources

A refined invariant subspace method and applications to evolution equations

, 2012
The invariant subspace method is refined to present more unity and more diversity of exact solutions to evolution equations. The key idea is to take subspaces of solutions to linear ordinary differential equations as invariant subspaces that evolution ...
A. S. Fokas, C. R. Zhu, C. X. Li, C. Z. Qu, C. Z. Qu, C. Z. Qu, G. W. Bluman, J. R. King, L. Debnath, P. J. Olver, R. Hirota, R. Hirota, R. Z. Zhdanov, S. F. Shen, S. R. Svirshchevskii, S. R. Svirshchevskii, S. S. Titov, V. A. Galaktionov, V. A. Galaktionov, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W.X. Ma, Wen-Xiu Ma   +28 more
core   +1 more source

Multi-soliton rational solutions for some nonlinear evolution equations

, 2016
The Korteweg-de Vries equation (KdV) and the (2+ 1)-dimensional Nizhnik-Novikov-Veselov system (NNV) are presented. Multi-soliton rational solutions of these equations are obtained via the generalized unified method.
M. Osman
semanticscholar   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

Remarks on nonlinear Schroedinger equations with harmonic potential

, 2001
Bose-Einstein condensation is usually modeled by nonlinear Schroedinger equations with harmonic potential. We study the Cauchy problem for these equations. We show that the local problem can be treated as in the case with no potential.
Carles, Remi
core   +4 more sources

A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller

International Journal of Adaptive Control and Signal Processing, EarlyView.
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg, Paulo Jefferson Dias de Oliveira Evald, Shivam Chaturvedi, Hilton Abilio Gründling, Rodrigo Varella Tambara, Wencong Su   +5 more
wiley   +1 more source