Results 101 to 110 of about 613,197 (287)
A Method for Constructing a Lax Pair for the Ernst Equation [PDF]
, 2009 A systematic construction of a Lax pair and an infinite set of conservation laws for the Ernst equation is described. The matrix form of this equation is rewritten as a differential ideal of gl(2,R)-valued differential forms, and its symmetry condition ...
Papachristou, C. J. +3 more
core +1 more source
We construct Lax pairs for the recently (2023) introduced integrable PDE systems known as the BKM equations. As many known and previously studied integrable systems are special cases of the BKM systems, our construction provides Lax pairs for many integrable hierarchies, including previously studied ones such as Camassa-Holm, Dullin-Gottwald-Holm, cKdV,
Konyaev, Andrey Yu. +1 more
openaire +2 more sources
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
Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.Abstract Purpose This study evaluates four different alignment techniques to assess total knee arthroplasty (TKA) balance. Methods A prospective cohort of 400 patients undergoing primary robotic‐assisted cruciate‐retaining TKA was analysed. The Velys TKA robotic system collects a balance curve that enables the surgeon to intraoperatively analyse the ...
Guido Wierer, Mark Clatworthy
wiley +1 more source
On the field analogue of elliptic spin Calogero-Moser model: Lax pair and equations of motion [PDF]
The Lax pair for the field analogue of the classical spin elliptic Calogero-Moser is proposed. Namely, using the previously known Lax matrix we suggest an ansatz for the accompany matrix.
Zotov, A.
core +1 more source
Chaos in PDEs and Lax Pairs of Euler Equations
Acta Applicandae Mathematica, 2003 Recently, the author and collaborators have developed a systematic program for proving the existence of homoclinic orbits in partial differential equations. Two typical forms of homoclinic orbits thus obtained are: (1). transversal homoclinic orbits, (2). Silnikov homoclinic orbits.
openaire +3 more sources
Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.Abstract Purpose In revision anterior cruciate ligament reconstruction (R‐ACLR), adding a lateral extra‐articular procedure (LEAP) reduces graft failure and postoperative laxity. Iliotibial band (ITB)‐based techniques may avoid patellar tendon harvesting morbidity, but evidence in adults, particularly in revision cases, remains limited.
Victor Mas +7 more
wiley +1 more source
New Neumann System Associated with a 3 × 3 Matrix Spectral Problem
Advances in Mathematical Physics, 2014 The nonlinearization approach of Lax pair is applied to the case of the Neumann constraint associated with a 3 × 3 matrix spectral problem, from which a new Neumann system is deduced and proved to be completely integrable in the Liouville sense.
Fang Li, Liping Lu
doaj +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
Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.Abstract Static anterior tibial translation (sATT) is a reproducible monopodal weight‐bearing radiographic parameter that reflects the resting sagittal position of the tibiofemoral joint. Distinct from manual laxity tests that quantify passive displacement limits, sATT captures the functional equilibrium of the tibia under physiological load ...
Mahmut Enes Kayaalp +8 more
wiley +1 more source