Results 101 to 110 of about 52,586 (291)

Simple identification of fake Lax pairs

, 2013
Two simple ways to identify and explain fake Lax pairs are provided. The two methods are complementary, one involves finding a gauge transformation which can be used to remove the associated nonlinear system's dependent variable(s) from a fake Lax pair. The second method shows that excess degrees of freedom exist in fake Lax pairs.
Butler, Samuel, Hay, Mike
openaire   +2 more sources

Postcommercialisation outcomes of bridge‐enhanced anterior cruciate ligament restoration: The first 100 Bridge registry patients

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
ABSTRACT Purpose To review adverse events and outcomes at least 1 year postoperatively from Bridge enhanced ACL restoration (BEAR) in the first 100 subjects of the Bridge registry, a postcommercialisation prospective cohort. Methods Consecutive BEAR patients were invited to enroll in the Bridge registry.
Jocelyn Wittstein, Sabrina Strickland, Andreas Gomoll, Seth Sherman, Brian Lau, Dean Taylor, Dennis Kramer, Sean Keyes, Alexander K. Meininger, Marc Pietropaoli, Sean McMillan, Daryl Osbahr, Jacqueline Brady   +12 more
wiley   +1 more source

Simplifications of Lax pairs for differential–difference equations by gauge transformations and (doubly) modified integrable equations

Partial Differential Equations in Applied Mathematics
Matrix differential–difference Lax pairs play an essential role in the theory of integrable nonlinear differential–difference equations. We present sufficient conditions which allow one to simplify such a Lax pair by matrix gauge transformations ...
Sergei Igonin
doaj   +1 more source

Step‐by‐step insight into gait analysis: A narrative review unlocking knee biomechanics

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Gait analysis offers a powerful tool for clinical and orthopaedic decision‐making. By quantifying spatiotemporal, kinematic and kinetic parameters during walking, it provides a dynamic window into joint function that static imaging cannot capture.
Giovanni Spallone, Letizia Mancini, Arianna Carnevale, Stefano Campi, Alessandro de Sire, Emiliano Schena, Pieter D'Hooghe, Michael T. Hirschmann, Rocco Papalia, Umile Giuseppe Longo   +9 more
wiley   +1 more source

Separation of variables for soliton equations via their binary constrained flows

, 1999
Binary constrained flows of soliton equations admitting $2\times 2$ Lax matrices have 2N degrees of freedom, which is twice as many as degrees of freedom in the case of mono-constrained flows.
Wen-Xiu Ma, Yunbo Zeng, Zeng Y. B.
core   +1 more source

Proximal anatomical axes show bidirectional variability: Accurate tibial slope requires mechanical axis measurement

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Purpose To determine whether posterior tibial slope (PTS) measured to proximal anatomical axes can serve as a reliable proxy for PTS measured to the mechanical tibial axis (mTA). Methods In patients ≥18 years with failed anterior cruciate ligament reconstruction, medial and lateral PTS were measured relative to the mTA on a lateral lower‐leg ...
Barbara C. Boer, Quinten W. T. Veerman, Reinoud W. Brouwer, Judith olde Heuvel, Tony G. van Tienen, Wolf Petersen, Roy A. G. Hoogeslag   +6 more
wiley   +1 more source

The semi-discrete AKNS system: Conservation laws, reductions and continuum limits [PDF]

, 2013
In this paper, the semi-discrete Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy is shown in spirit composed by the Ablowitz-Ladik flows under certain combinations.
Fu, Wei, Qiao, Zhijun, Sun, Junwei, Zhang, Da-jun   +3 more
core  

Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

, 2007
We investigate multi-dimensional Hamiltonian systems associated with constant Poisson brackets of hydrodynamic type. A complete list of two- and three-component integrable Hamiltonians is obtained. All our examples possess dispersionless Lax pairs and an
A. Moro, B.A. Dubrovin, B.A. Dubrovin, C.P. Boyer, D.B. Fairlie, E. V. Ferapontov, E.V. Ferapontov, E.V. Ferapontov, E.V. Ferapontov, E.V. Ferapontov, I.M. Krichever, J. Gibbons, J. Gibbons, J. Haantjes, M. Blaszak, M. Blaszak, M. Burnat, M. Manas, M.V. Pavlov, O.I. Mokhov, S.K. Godunov, S.P. Tsarev, V. V. Sokolov, Z. Peradzyński   +23 more
core   +1 more source

Systematic derivation of boundary Lax pairs

, 2007
We systematically derive the Lax pair formulation for both discrete and continuum integrable classical theories with consistent boundary conditions.
Avan, Jean, Doikou, Anastasia
openaire   +2 more sources

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