Results 61 to 70 of about 613,197 (287)
Nonlinear contact Lax pair for (3+1)-dimensional integrable systems
, 2019 The nonlinear contact Lax pair is a novel kind of Lax pair for integrable dispersionless systems in 3+1 dimensions. It is a key ingredient in the new construction of such systems introduced in the paper A.
Artur Sergyeyev (6163895)
core +1 more source
Complement Activation Linked to Type II Interferon Signaling in Still Disease
Arthritis &Rheumatology, EarlyView.Objective Still disease (SD) is an autoinflammatory syndrome characterized by innate immune dysregulation. Although complement can drive inflammation, its involvement in SD remains to be defined. Thus, we aimed to assess complement activation in SD. Methods Complement was assessed using transcriptomic, proteomic, and in vitro approaches. RNA sequencing
Freya M. C. H. Huijsmans +115 more
wiley +1 more source
Advances in Mathematical Physics, 2018 Based on the generalized dressing method, we propose a new integrable variable-coefficient 2+1-dimensional long wave-short wave equation and derive its Lax pair. Using separation of variables, we have derived the explicit solutions of the equation.
Ting Su, Hui Hui Dai
doaj +1 more source
Arthroscopy Techniques, EarlyView.Abstract In patients with recurrent anterior shoulder dislocation and glenoid bone loss between 10% and 20%, isolated Bankart repair remains associated with a certain rate of postoperative redislocation. The optimal management for this patient subset is controversial. We describe an all‐arthroscopic technique using allogeneic bone strips for free graft
Yingbin Wu +5 more
wiley +1 more source
A symmetric difference-differential Lax pair for Painlevé VI [PDF]
, 2017 We present a Lax pair for the sixth Painlevé equation arising as a continuous isomonodromic deformation of a system of linear difference equations with an additional symmetry structure. We call this a symmetric difference-differential Lax pair.
Rains, Eric, Ormerod, Christopher M.
core
Arthroscopy Techniques, EarlyView.Abstract The anterior cruciate ligament (ACL) and anterolateral ligament (ALL) play key roles in maintaining rotational stability of the knee joint. Injuries that cause ACL tears have been shown to also frequently compromise the integrity of the ALL.
Taidhgin J. Keel +6 more
wiley +1 more source
Lax Representation and Darboux Solutions of the Classical Painlevé Second Equation
Advances in Mathematical Physics, 2021 In this article, we present Darboux solutions of the classical Painlevé second equation. We reexpress the classical Painlevé second Lax pair in new setting introducing gauge transformations to yield its Darboux expression in additive form. The new linear
Irfan Mahmood, Muhammad Waseem
doaj +1 more source
Labral Reconstruction Utilizing Semitendinosus Allograft and Knotless Anchor Fixation
Arthroscopy Techniques, EarlyView.Abstract Treatment for anterior instability in the setting of subcritical bone loss remains challenging. The addition of labral deficiency or an irreparable labrum can further complicate treatment strategies. Different treatment options have been proposed, including Bankart repair with remplissage, bone block procedures, and dynamic augmentation ...
Joseph M. Sliepka +2 more
wiley +1 more source
Construction of a Lax Pair for the E_6^{(1)} q-Painlevé System
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We construct a Lax pair for the $ E^{(1)}_6 $ $q$-Painlevé system from first principles by employing the general theory ofsemi-classical orthogonal polynomial systems characterised by divided-difference operators on discrete, quadratic lattices [arXiv ...
Christopher M. Ormerod +1 more
doaj +1 more source
Completely Integrable Lax Pair equations for Connes-Kreimer Hopf algebra of rooted trees
, 2023 We show the complete integrability of the Lax pair equations for certain low-dimensional Lie algebras of the infinitesimal character $\tilde\beta_0$ introduced in the paper \emph{Lax pair equations and {C}onnes-{K}reimer renormalization}, by G.
Baditoiu, Gabriel
core