Results 101 to 110 of about 1,762,917 (199)

The rule for the number of fundamental Peregrine solitons involving multiple rogue wave states in the vector Chen-Lee-Liu nonlinear Schrödinger equation

Frontiers in Physics
This study investigates the physical distribution patterns of Peregrine solitons within multi-order rogue wave states and their potential applications in optical systems under the vector Chen-Lee-Liu nonlinear Schrödinger equation framework.
Changchang Pan, Gangzhou Wu, Rui Bao, Boyun Shao, Huicong Zhang   +4 more
doaj   +1 more source

Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the Stäckel Transform

Symmetry, Integrability and Geometry: Methods and Applications, 2011
The Stäckel transform is applied to the geodesic motion on Euclidean space, through the harmonic oscillator and Kepler-Coloumb potentials, in order to obtain maximally superintegrable classical systems on N-dimensional Riemannian spaces of nonconstant ...
Ángel Ballesteros, Alberto Enciso, Francisco J. Herranz, Orlando Ragnisco, Danilo Riglioni   +4 more
doaj   +1 more source

Akhmediev Breathers and Kuznetsov–Ma Solitons in the Cubic-Quintic Nonlinear Schrödinger Equation

IEEE Photonics Journal
Finite background solitons are a significant area of research in nonlinear dynamics, as they are commonly found in various complex physical systems. Understanding how finite background solitons are generated and determining the conditions required for ...
Changchang Pan, Gangzhou Wu, Lei Zhang, Huicong Zhang   +3 more
doaj   +1 more source

Geometric B\"acklund--Darboux transformations for the KP hierarchy

, 1998
We shown that, if you have two planes in the Segal-Wilson Grassmannian that have an intersection of finite codimension, then the corresponding solutions of the KP hierarchy are linked by B\"acklund-Darboux transformations (BDT).
Helminck, G. F., van de Leur, J. W.
core  

Elastic Curves and Euler–Bernoulli Constrained Beams from the Perspective of Geometric Algebra

Mathematics
Elasticity is a well-established field within mathematical physics, yet new formulations can provide deeper insight and computational advantages. This study explores the geometry of two- and three-dimensional elastic curves using the formalism of ...
Dimiter Prodanov
doaj   +1 more source

On pseudo null and null cartan darboux helices in minkowski 3-space

Kuwait Journal of Science, 2016
In this paper, we introduce the notion of pseudo null and null Cartan Darboux helicesin Minkowski 3-space. We characterize the Darboux vectors of the pseudo null andthe null Cartan curves in terms of the Darboux helices and the rectifying curves.
Ufuk Öztürk, Emilija Nešović
doaj  

Involutive sweeping surfaces with Frenet frame in Euclidean 3-space. [PDF]

Heliyon, 2023
Köseoğlu G, Bilici M.
europepmc   +1 more source

Lie applicable surfaces and curved flats. [PDF]

Manuscr Math, 2022
Burstall F, Pember M.
europepmc   +1 more source

Discrete cyclic systems and circle congruences. [PDF]

Ann Mat Pura Appl, 2022
Hertrich-Jeromin U, Szewieczek G.
europepmc   +1 more source

Thermodynamic Entropy as a Noether Invariant from Contact Geometry. [PDF]

Entropy (Basel), 2023
Bravetti A, García-Ariza MÁ, Tapias D.
europepmc   +1 more source