Results 61 to 70 of about 4,590 (301)
A Lax Pair Structure for the Half-Wave Maps Equation
, 2018 We consider the half-wave maps equation ∂tS⃗ =S⃗ ∧|∇|S⃗ , where S⃗ =S⃗ (t,x) takes values on the two-dimensional unit sphere S2 and x∈R (real line case) or x∈T (periodic case).
Lenzmann, Enno +3 more
core +1 more source
Arthroscopy Techniques, EarlyView.Abstract Anterior cruciate ligament reconstruction continues to evolve as surgical techniques aim to optimize graft placement, increase rotational control, and reduce graft failure in high‐risk populations. This technical note describes an inverse anterior cruciate ligament reconstruction combined with an anatomic anterolateral ligament reconstruction,
Ezio Adriani +3 more
wiley +1 more source
Quantum Painlev\'e II Lax Pair and Quantum (Matrix) Analogues of Classical Painlev\'e II equation
, 2023 In this article, we present a new quantum Painlev\'e II Lax pair which explicitly involves the Planck constant $ \hbar $ and an arbitrary field variable $v$ so these two objects make this new pair different from Flaschka-Newell Painlev\'e II Lax pair and
Sohail, Hira +2 more
core
Arthroscopy Techniques, EarlyView.Abstract The addition of a lateral extra‐articular tenodesis to anterior cruciate ligament reconstruction has been shown to reduce graft failure and improve rotational stability, but current fixation methods often require additional tunnels or hardware, with risks of tunnel convergence, irritation, and hardware removal. This technical paper describes a
Emmanouil Papakostas +5 more
wiley +1 more source
Orthogonal functions related to Lax pairs in Lie algebras
, 2021 We study a Lax pair in a 2-parameter Lie algebra in various representations. The overlap coefficients of the eigenfunctions of L and the standard basis are given in terms of orthogonal polynomials and orthogonal functions. Eigenfunctions for the operator
Groenevelt, W.G.M. (author) +3 more
core +1 more source
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
Lax pair tensors in arbitrary dimensions [PDF]
Journal of Physics A: Mathematical and General, 1999 8 pages, uses IOP style files. Minor correction. Submitted to J.
Goliath, Martin +2 more
openaire +3 more sources
Current Trends and Future Research in Management Control for Sustainability in Retail
Business Strategy and the Environment, EarlyView.ABSTRACT The growing emphasis on sustainability in the retail sector, driven by regulatory frameworks, market trends and consumer demand, has placed management control at the forefront of facilitating sustainability practices. Despite increasing academic interest in this area, the literature is fragmented and provides limited sector‐specific insight ...
Miguel Gil, Mart Ots, Timur Uman
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