Results 101 to 110 of about 4,590 (301)

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

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

Lax pairs for BKM hierarchy

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., Matveev, Vladimir S.   +1 more
openaire   +2 more sources

Extended Relativistic Toda Lattice, L-Orthogonal Polynomials and Associated Lax Pair

, 2018
When a measure Ψ(x) on the real line is subjected to the modification dΨ( t )(x) = e− t xdΨ(x) , then the coefficients of the recurrence relation of the orthogonal polynomials in x with respect to the measure Ψ( t )(x) are known to satisfy the so-called ...
Sri Ranga, A. [UNESP], Bracciali, Cleonice F., Silva, Jairo S., Bracciali, Cleonice F. [UNESP], Sri Ranga, A.   +4 more
core   +1 more source

Lax pairs on Yang-Baxter deformed backgrounds [PDF]

, 2015
We explicitly derive Lax pairs for string theories on Yang-Baxter deformed backgrounds, 1) gravity duals for noncommutative gauge theories, 2) γ-deformations of S[5], 3) Schrödinger spacetimes and 4) abelian twists of the global AdS[5].
Kameyama, Takashi, Takashi Kameyama, Jun-ichi Sakamoto, Kentaroh Yoshida, Sakamoto, Jun-ichi, Hideki Kyono, Kyono, Hideki, Yoshida, Kentaroh   +7 more
core   +1 more source

Continuous Limit, Rational Solutions, and Asymptotic State Analysis for the Generalized Toda Lattice Equation Associated with 3 × 3 Lax Pair

, 2022
Discrete integrable nonlinear differential difference equations (NDDEs) have various mathematical structures and properties, such as Lax pair, infinitely many conservation laws, Hamiltonian structure, and different kinds of symmetries, including Lie ...
Xiao-Yong Wen, Xue-Ke Liu
core   +1 more source

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

Tibia‐first, gap‐balanced patient‐specific alignment in total knee arthroplasty achieves better ligament balance than mechanical, kinematic and functional alignment strategies

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