Results 91 to 100 of about 613,197 (287)

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

Hamiltonian Monodromy via spectral Lax pairs

Journal of Mathematical Physics
Hamiltonian Monodromy is the simplest topological obstruction to the existence of global action-angle coordinates in a completely integrable system. We show that this property can be studied in a neighborhood of a focus-focus singularity by a spectral Lax pair approach.
Gutierrez Guillen, Gabriela, Sugny, Dominique, Mardešić, Pavao   +2 more
openaire   +4 more sources

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

Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation

Abstract and Applied Analysis, 2014
Binary Bell polynomials are applied to construct bilinear formalism, bilinear Bäcklund transformation, Lax pair, and infinite conservation laws of the generalized variable-coefficient fifth-order Korteweg-de Vries equation.
Wenjuan Rui, Yufeng Zhang
doaj   +1 more source

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

Exact solutions of a local fractional nonisospectral complex mKdV equation based on Riemann–Hilbert method with time-varying spectrum

Alexandria Engineering Journal
This article combines the Riemann–Hilbert method with fractional power-law time-varying spectrum for the first time to solve a time fractional nonisospectral complex mKdV (tfniscmKdV) equation. Firstly, the tfniscmKdV equation and its associated Lax pair
Bo Xu, Sheng Zhang
doaj   +1 more source

Lax pair formulation for the Euler equation

, 1990
Friedlander, Susan; Vishik, Misha M.. (1990). Lax pair formulation for the Euler equation.
Friedlander, Susan, Vishik, Misha M.
core  

No difference in patella mobility between conventional mechanically aligned and robotic‐assisted functionally aligned total knee arthroplasty

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Purpose Robotic‐assisted (RA) surgery allows for higher accuracy in total knee arthroplasty (TKA) and for better standardization of alignment concepts. It was hypothesized that the more personalized component placement in functional robotic‐assisted total knee arthroplasty (RA‐TKA) would show an impact on patella mobility and clinical outcome.
Krzysztof Lachowski, Karim Mustapha Naja, Robert Prill, Andreas Niemeier, Mikhail Salzmann, Roland Becker   +5 more
wiley   +1 more source

The Lattice Structure of Connection Preserving Deformations for q-Painlevé Equations I

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We wish to explore a link between the Lax integrability of the q-Painlevé equations and the symmetries of the q-Painlevé equations. We shall demonstrate that the connection preserving deformations that give rise to the q-Painlevé equations may be thought
Christopher M. Ormerod
doaj   +1 more source

Persistent magnetic resonance imaging‐derived static anterior tibial translation after anterior cruciate ligament reconstruction is associated with elevated cartilage T2 relaxation times but not serum biomarkers

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Purpose Persistent, static anterior tibial translation (sATT) alterations following anterior cruciate ligament reconstruction (ACLR) may influence cartilage health. T2 relaxation times and serum biomarkers of cartilage degradation/bone resorption provide insight into osteoarthritis development.
Manuel Angel Romero‐Padron, Tyler Kallman, Mark Amirtharaj, Neal Weldon, Melissa Manzer, Balasrinivasa Rao Sajja, Matthew Alan Tao, Elizabeth Wellsandt   +7 more
wiley   +1 more source