Results 91 to 100 of about 4,590 (301)

Discrete Lax pairs, reductions and hierarchies [PDF]

, 2008
The term `Lax pair' refers to linear systems (of various types) that are related to nonlinear equations through a compatibility condition. If a nonlinear equation possesses a Lax pair, then the Lax pair may be used to gather information about the ...
Hay, Mike, Mike Hay
core  

High posterior tibial slope increases graft failure risk but does not impair functional outcomes after primary ACL reconstruction

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Purpose Posterior tibial slope (PTS) has been implicated in anterior cruciate ligament (ACL) graft failure, but its relationship to objective stability and patient‐reported outcomes (PROs) after primary ACL reconstruction (ACLR) remains unclear. The study evaluated whether higher PTS is associated with laximetry, graft survival, and PROs after
Paul Souvik, Maher Ghandour, Ernest Siret, Fabio Sammartino, Piercecchi Antoine, Matthieu Ollivier   +5 more
wiley   +1 more source

Lax Pair Tensors and Integrable Spacetimes

, 1997
The use of Lax pair tensors as a unifying framework for Killing tensors of arbitrary rank is discussed. Some properties of the tensorial Lax pair formulation are stated.
Martin Goliath, Kjell Rosquist
core  

Construction of Lax operators from weight diagrams [PDF]

, 1991
We show that cyclic weight diagrams corresponding to representations of affine Lie algebras allow one to read-off the associated Lax operator. The resultant Lax pair generates the modified KdV equations, and have been shown in some cases to produce ...
Carbon, S. L., Piard, E. J.
core   +1 more source

Underestimation of tibial tuberosity–trochlear groove distance in conventional knee magnetic resonance imaging compared to full‐extension imaging

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Purpose To assess the effect of the knee flexion on the tibial tuberosity–trochlear groove (TT–TG) distance measurement by comparing conventional and whole‐leg rotational magnetic resonance imaging (MRI). Methods This retrospective cohort study included 45 patients with patellar dislocations who had undergone both conventional knee MRI with ...
Chantal Gaudes, Lena Eggeling, Vito Gaetano Rinaldi, David Dejour, Stefano Zaffagnini, Roland Becker, Sebastian Kopf   +6 more
wiley   +1 more source

Integrability, exact solutions and nonlinear dynamics of a nonisospectral integral-differential system

Open Physics, 2019
The investigations of integrability, exact solutions and dynamics of nonlinear partial differential equations (PDEs) are vital issues in nonlinear mathematical physics.
Xu Bo, Zhang Sheng
doaj   +1 more source

A generalized leznov lattice: Bilinear form, backlund transformation, and lax pair

, 2004
A generalized Leznov lattice with its bilinear form is proposed. A bilinear Bäcklund transformation for the lattice is also presented. Starting from the BT, soliton solutions are obtained.
Tam, Hon-Wah
core   +1 more source

Targeting ligament boundaries rather than alignment boundaries in augmented‐reality‐assisted total knee arthroplasty ensures comparable gait patterns between operated and contralateral limbs

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Purpose Modern personalised total knee arthroplasty (TKA) techniques aim to mimic natural knee kinematics by focusing on soft‐tissue dynamics rather than static alignment. However, a consistent definition of the optimal ligamentous balance has not yet been established.
Michael Engl, Fjorela Qordja, Guido Bocchino, Giulio Maccauro, Sebastian Schaller, Andrea Giordano Salvi, Luca De Berardinis, Michele Paolo Festini Capello, Pieralberto Valpiana, Pier Francesco Indelli   +9 more
wiley   +1 more source

The Lax pair for C-2-type Ruijsenaars-Schneider model

, 2001
We study the C-2 Ruijsenaars-Schneider model with interaction potential of trigonometric type. The Lax pairs for the model with and without spectral parameters are constructed. Also given are the involutive Hamiltonians for the system.
Yang, WL, Chen, K, Hou, BY
core  

Managing the meniscus Part 2: Traumatic tear patterns, biologic augmentation, transplantation, innovation and future research

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Acute, traumatic meniscus tears are common and should be repaired whenever possible. However, the biological age of the patient, along with the specific tear morphology, may significantly influence the selection of the repair technique, expected clinical outcomes and the postoperative rehabilitation protocol.
Armin Runer, Matthew P. Kolevar, Ehab M. Nazzal, Jonathan D. Hughes, Sebastian Kopf, Aaron J. Krych, Michael T. Hirschmann, Robert F. LaPrade, Alan Getgood, Tim Spalding, Robert Prill, Maria Tuca, Matthieu Ollivier, Sebastian Siebenlist, Sachin Tapasvi, Volker Musahl   +15 more
wiley   +1 more source