Results 81 to 90 of about 1,619,181 (215)
Darboux helices in three dimensional Lie groups
AIMS Mathematics, 2020 In this paper, we introduce Darboux helices in a three dimensional Lie group G with a bi-invariant metric and give some characterizations of Darboux helices.
Ufuk Öztürk, Zeynep Büşra Alkan
doaj +1 more source
Noncommutative bispectral Darboux transformations
, 2016 We prove a general theorem establishing the bispectrality of noncommutative Darboux transformations. It has a wide range of applications that establish bispectrality of such transformations for differential, difference and q-difference operators with ...
Geiger, Joel +2 more
core +1 more source
A 3D Visual Tool for Analyzing Changes in Hair Volume and Length Caused by Medications
Computer Animation and Virtual Worlds, Volume 36, Issue 4, July/August 2025.Changes in Hair Length and Volume Caused by Drug Treatment. ABSTRACT This paper proposes a 3D visual tool based on physically‐based simulation to verify and analyze changes in the volume and length of hair after treatment with cosmetics or other chemicals.
Jong‐Hyun Kim +5 more
wiley +1 more source
AIMS MathematicsUsing a common tangent vector field to a surface along a curve, in this study we discussed a new Darboux frame that we referred to as the rotation-minimizing Darboux frame (RMDF) in Minkowski 3-space. The parametric equation resulting from the RMDF frame
Emad Solouma +3 more
doaj +1 more source
Hirota equation and the quantum plane
, 2012 We discuss geometric integrability of Hirota's discrete KP equation in the framework of projective geometry over division rings using the recently introduced notion of Desargues maps.
Doliwa, Adam
core +1 more source
New Vector Fields and Planes Obtained by the Extended Darboux Frame Apparatus of the Second Kind
WSEAS Transactions on MathematicsIn this paper, new vector fields are defined along a curve lying on an orientable hypersurface with nonvanishing extended Darboux curvatures of the second kind, and some new planes and curves are introduced using these vector fields in Euclidean 4-space.
B. U. Düldül
semanticscholar +1 more source
Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds
Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.ABSTRACT In this paper, we show that the coefficients ϕn$\phi _n$ of the formal series expansions ∑n=1∞ϕnxn∈xC[[x]]$\sum _{n=1}^\infty \phi _n x^n\in x\mathbb {C}[[x]]$ of center manifolds of planar analytic saddle‐nodes grow like Γ(n+a)$\Gamma (n+a)$ (after rescaling x$x$) as n→∞$n\rightarrow \infty$.
Kristian Uldall Kristiansen
wiley +1 more source
, 2016 The integrable nonlocal nonlinear Schrodinger (NNLS) equation with the self-induced parity-time-symmetric potential [Phys. Rev. Lett. 110 (2013) 064105] is investigated, which is an integrable extension of the standard NLS equation.
Wen, Xiao-Yong +2 more
core +1 more source
Darboux Transformation for the Vector Sine-Gordon Equation and Integrable Equations on a Sphere [PDF]
Letters in Mathematical Physics, 2016 We propose a method for construction of Darboux transformations, which is a new development of the dressing method for Lax operators invariant under a reduction group. We apply the method to the vector sine-Gordon equation and derive its B cklund transformations.
Mikhailov, Alexander V +2 more
openaire +5 more sources
On the Zoll deformations of the Kepler problem
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1749-1767, June 2025.Abstract A celebrated result of Bertrand states that the only central force potentials on the plane with the property that all bounded orbits are periodic are the Kepler potential and the potential of the harmonic oscillator. In this paper, we complement Bertrand's theorem showing the existence of an infinite‐dimensional space of central force ...
Luca Asselle, Stefano Baranzini
wiley +1 more source