Results 111 to 120 of about 4,590 (301)
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
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
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. A plurality of nonlinear equations in partial derivatives having a Lax pair are either exactly integrable or equations that allow rich classes of exact solutions.
T. V. Red'kina, O. V. Novikova
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Some distributional solutions of the CH, DP and CH2 equations and the Lax pair formalism [PDF]
, 2008 This dissertation deals with a class of nonlinear wave equations of the type discovered by R. Camassa and D. D. Holm which includes the Camassa-Holm, the Degasperis-Procesi, and the two component Camassa-Holm equations.
Mohajer, Keivan
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A Note on Lax Pairs of the Sawada-Kotera Equation [PDF]
, 2020 We prove that the new Lax pair of the Sawada-Kotera equation, discovered recently by Hickman, Hereman, Larue, and Göktaş, and the well-known old Lax pair of this equation, considered in the form of zero-curvature representations, are gauge equivalent to ...
Abdul Hamid Kara, Sergei Sakovich
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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
Lax representation of Riemann ellipsoids
, 1993 The fluid dynamical equations of motion for rotating Riemann ellipsoids are presented as a Lax equation, X = [F, X]. Riemann ellipsoids model rotating galaxies, stars, and atomic nuclei. The elements of the Lax pair X-F are matrices in the symplectic Lie
Rosensteel, G.
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Lasers in Surgery and Medicine, EarlyView.ABSTRACT Background Non‐surgical treatment of the aging lower face remains a therapeutic challenge. Tissue Micro‐Coring Technology (MCT) is a novel technology that permits the non‐surgical removal of skin as micro‐cores, tightening skin and inducing collagen and elastin.
Omar A. Ibrahimi +3 more
wiley +1 more source
Abstract and Applied Analysis, 2014 We mainly investigate the generalized nonlinear Schrödinger-Maxwell-Bloch system which governs the propagation of optical solitons in nonlinear erbium-doped fibers with higher-order effects.
Rui Guo, Hui-Qin Hao, Xiao-Song Gu
doaj +1 more source
A symmetric differential-difference Lax Pair for the sixth Painleve equation
, 2017 We present a Lax pair for the sixth Painleve equation arising as a continuous isomonodromic deformation of a system of linear difference equations with an additional symmetry structure. We call this a symmetric difference-differential Lax pair.
Ormerod, Christopher
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