Results 61 to 70 of about 1,065,720 (348)
Do All Integrable Equations Satisfy Integrability Criteria?
At the price of sacrificing all suspense, we can already announce that the answer to the question of the title is “no.†It is indeed our belief that one may find counterexamples to all integrability conjectures, unless one constrains the ...
A. S. Carstea +4 more
doaj +2 more sources
Solitary Wave and Shock Wave Perturbation for the Modified Kawahara Equation
This paper retrieves shock waves and solitary wave solutions to the modified Kawahara equation in the presence of perturbation terms. The generalized G'/G-expansion approach is the adopted integration methodology for the model.
Lakhveer Kaur +2 more
doaj +1 more source
Searching for integrable Hamiltonian systems with Platonic symmetries [PDF]
In this paper we try to find examples of integrable natural Hamiltonian systems on the sphere $S^2$ with the symmetries of each Platonic polyhedra. Although some of these systems are known, their expression is extremely complicated; we try here to find ...
Rastelli, Giovanni
core
On the local integrability condition for generalised translation-invariant systems
This paper considers the local integrability condition for generalised translation-invariant systems and its relation to the Calder\'on integrability condition, the temperateness condition and the uniform counting estimate.
van Velthoven, Jordy Timo
core +1 more source
Gradient integrability and rigidity results for two-phase conductivities in two dimensions [PDF]
This paper deals with higher gradient integrability for σ-harmonic functions u with discontinuous coefficients σ, i.e. weak solutions of div(σ∇u)=0 in dimension two.
Nesi, Vincenzo +2 more
core +1 more source
Revealing the structure of land plant photosystem II: the journey from negative‐stain EM to cryo‐EM
Advances in cryo‐EM have revealed the detailed structure of Photosystem II, a key protein complex driving photosynthesis. This review traces the journey from early low‐resolution images to high‐resolution models, highlighting how these discoveries deepen our understanding of light harvesting and energy conversion in plants.
Roman Kouřil
wiley +1 more source
Newton-Cartan D0 branes from D1 branes and integrability
We explore analytic integrability criteria for D1 branes probing 4D relativistic background with a null isometry direction. We use both the Kovacic’s algorithm of classical (non)integrability as well as the standard formulation of Lax connections to show
Dibakar Roychowdhury
doaj +1 more source
Organoids in pediatric cancer research
Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley +1 more source
Quantum integrability of the Alday-Arutyunov-Frolov model
We investigate the quantum integrability of the Alday-Arutyunov-Frolov (AAF) model by calculating the three-particle scattering amplitude at the first non-trivial order and showing that the S-matrix is factorizable at this order.
A Melikyan +31 more
core +1 more source
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source

