Results 151 to 160 of about 1,039 (297)
On the space of 2d integrable models
Journal of High Energy PhysicsWe study infinite dimensional Lie algebras, whose infinite dimensional mutually commuting subalgebras correspond with the symmetry algebra of 2d integrable models.
Lukas W. Lindwasser
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A super Degasperis-Procesi equation and related integrable systems. [PDF]
Proc Math Phys Eng Sci, 2021 Gao B, Tian K, Liu QP.
europepmc +1 more source
Design and Analysis of Compression–Torsion Coupling Metamaterials Using the Golden Section Method
Advanced Engineering Materials, EarlyView.A novel compression–torsion metamaterial is engineered using inclined rods and symmetry breaking. To optimize its torsional performance, the golden section method is employed. The mechanical response of the metamaterial is validated through both numerical analysis and experimental validation.
Amirhossein Hassani, Sara Bagherifard
wiley +1 more source
Gauge transformations of constrained KP flows: new integrable hierarchies
, 2007 Integrable systems in 1+1 dimensions arise from the KP hierarchy as symmetry reductions involving square eigenfunctions. Exploiting the residual gauge freedom in these constraints new integrable systems are derived.
Walter Oevel +4 more
core
Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies
We cast the classical Yang-Baxter equation (CYBE) in a variational context for the first time, by relating it to the theory of Lagrangian multiforms, a framework designed to capture integrability in a variational fashion.
Vicedo, B +5 more
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Integrable nonlinear perturbed hierarchies of NLS-mKdV equation and soliton solutions
, 2022 We propose three spectral problems for NLS-mKdV equation by combining three integrable coupling ways. Then we obtain three nonlinear perturbation terms to derive three integrable nonlinear perturbed hierarchies of the NLS-mKdV equation. We proved the Lax
Zhao, Qiulan +3 more
core
A Vector-Product Lie Algebra of a Reductive Homogeneous Space and Its Applications
MathematicsA new vector-product Lie algebra is constructed for a reductive homogeneous space, which can lead to the presentation of two corresponding loop algebras.
Jian Zhou, Shiyin Zhao
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Advanced Functional Materials, EarlyView.Liquid‐phase transmission electron microscopy enables direct observation of nucleation and growth processes in solution. This review is dedicated to the remembrance of Helmut Cölfen and highlights recent studies on complex materials—oxides, biominerals, organic–inorganic crystals—which were central to his research activity. It summarizes key milestones,
Charles Sidhoum +5 more
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Advanced Functional Materials, EarlyView.Multiscale experiments and modeling reveal how Ti3C2Tx MXene nanosheets reinforce PVDF nanocomposites. An optimal MXene loading (∼1 wt.%) nearly doubles tensile strength through efficient stress transfer, flake alignment, and crack‐deflection mechanisms, transforming ductile polymer behavior into a controlled multi‐stage fracture pathway which aligns ...
Bita Soltan Mohammadlou +5 more
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On Ruijsenaars-Schneider spectrum from superconformal indices and ramified instantons
Journal of High Energy PhysicsWe discuss two physics-inspired approaches to derivation of the eigenfunctions and eigenvalues of A N Ruijsenaars-Schneider model. First approach which was recently proposed by the authors relies on the computations of superconformal indices of class S $$
Hee-Cheol Kim +2 more
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