Results 91 to 100 of about 52,586 (291)

Cyclic bases of zero-curvature representations: five illustrations to one concept

, 2002
The paper contains five examples of using cyclic bases of zero-curvature representations in studies of weak and strong Lax pairs, hierarchies of evolution systems, and recursion operators.Comment: 18 ...
Sakovich, S. Yu.
core   +3 more sources

Evaluation of the Adequacy of Design Specifications for Nonstructural Components in a Reticular Structure

Earthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT Nonstructural components (NSCs) installed in large‐span reticular structures were frequently severely damaged during earthquakes, even when the primary structure remained intact. Existing seismic design specifications for NSCs were predominantly developed for upright structures such as multi‐storey buildings and offer no guidance for reticular
Xudong Zhi, Fengze Li, Duozhi Wang, Nawawi Chouw, Rong Zhang, Bo Huang, Feng Fan   +6 more
wiley   +1 more source

A three-by-three matrix spectral problem for AKNS hierarchy and its binary Nonlinearization

, 1995
A three-by-three matrix spectral problem for AKNS soliton hierarchy is proposed and the corresponding Bargmann symmetry constraint involved in Lax pairs and adjoint Lax pairs is discussed.
Adams, Antonowicz, Antonowicz, Antonowicz, Arnold, B. Fuchssteiner, Blaszak, Blaszak, Bogoyavlenskii, Cao, Cao, Carroll, de León, Eilbeck, Eilbeck, Flaschka, Fokas, Fuchssteiner, Fuchssteiner, Geng, Ma, Ma, Ma, Mel'nikov, Oevel, Perelomov, Ragnisco, Schilling, Sklyanin, Tondo, Tu, Tu, W. Oevel, W.X. Ma, Zeng, Zeng, Zeng   +36 more
core   +1 more source

Dietary and biomarker‐guided strategies as supportive measures in the fragile X syndrome

Food Biomacromolecules, EarlyView.
Abstract The fragile X syndrome (FXS) is an inherited neurodevelopmental disorder that primarily affects males, often resulting in an IQ below 55, while about two‐thirds of females also experience intellectual disability. Physical features may include an elongated face, prominent ears, finger joint laxity, and enlarged testes in males.
Jailan E. El Halawani, Reem R. AlOlaby
wiley   +1 more source

Connections of Zero Curvature and Applications to Nonlinear Partial Differential Equations [PDF]

, 2014
A general formulation of zero curvature connections in a principle bundle is presented and some applications are discussed. It is proved that a related connection based on a prolongation in an associated bundle remains zero curvature as well.
Bracken, Paul
core   +2 more sources

Intersection Numbers of the Natural Embedding of the Twisted Triality Hexagon T ( q 3 , q ) ${\mathsf{T}}({q}^{3},q)$ in PG ( 7 , q 3 ) ${\mathsf{PG}}(7,{q}^{3})$

Journal of Combinatorial Designs, EarlyView.
ABSTRACT In this paper, we study and characterise the natural embedding of the twisted triality hexagon T ( q 3 , q ) ${\mathsf{T}}({q}^{3},q)$ in PG ( 7 , q 3 ) ${\mathsf{PG}}(7,{q}^{3})$. We begin by describing the possible intersections of subspaces of PG ( 7 , q 3 ) ${\mathsf{PG}}(7,{q}^{3})$ with T ( q 3 , q ) ${\mathsf{T}}({q}^{3},q)$.
Sebastian Petit, Geertrui Van de Voorde
wiley   +1 more source

Higher-Dimensional Integrable Systems from Multilinear Evolution Equations

, 1996
A multilinear M-dimensional generalization of Lax pairs is introduced and its explicit form is given for the recently discovered class of time-harmonic, integrable, hypersurface motions.Comment: 5 ...
Bordemann M, Hoppe J, Jens Hoppe
core   +1 more source

Older age, higher BMI, female sex and meniscal repair are predictors of inferior patient‐reported outcomes 1 year after ACL reconstruction

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Purpose To identify predictors of inferior patient‐reported outcomes (PROs) 1 year after anterior cruciate ligament reconstruction (ACLR) and to examine whether these predictors differ by sex. We hypothesised that older age, female sex, and meniscectomy are associated with inferior PROs.
Junya Tsukisaka, Atsuo Nakamae, Kazuhiro Tsukisaka, Ryo Shimizu, Yuki Yamanashi, Akinori Nekomoto, Kyohei Nakata, Nobuo Adachi   +7 more
wiley   +1 more source

Reduced-Order Modeling based on Approximated Lax Pairs [PDF]

, 2012
A reduced-order model algorithm, based on approximations of Lax pairs, is proposed to solve nonlinear evolution partial differential equations. Contrary to other reduced-order methods, like Proper Orthogonal Decomposition, the space where the solution is
Gerbeau, Jean-Frédéric, Lombardi, Damiano   +1 more
core   +3 more sources

Lax Representations for Separable Systems from Benenti Class

, 2019
In this paper we construct Lax pairs for St\"ackel systems with separation curves from so-called Benenti class. For each system of considered family we present an infinite family of Lax representations, parameterized by smooth functions of spectral ...
Błaszak, Maciej, Domański, Ziemowit
core   +1 more source