Results 51 to 60 of about 1,619,181 (215)
Vector combined cnoidal wave and soliton solutions for a 3D partially nonlocal CNLSE
Results in Physics, 2023 A 3D distributed-coefficient coupled nonlinear Schrödinger equation(CNLSE) with the partially nonlocal nonlinearity(PNN) for locality in two transverse directions and non-locality in the longitudinal direction becomes the center of attention in this ...
Yu Zhu +4 more
doaj +1 more source
Null Darboux Curve Pairs in Minkowski 3-Space
Axioms, 2021 Based on the fundamental theories of null curves in Minkowski 3-space, the null Darboux mate curves of a null curve are defined which can be regarded as a kind of extension for Bertrand curves and Mannheim curves in Minkowski 3-space.
Jinhua Qian +3 more
doaj +1 more source
On the symplectic structures arising in Optics
, 1996 Geometric optics is analysed using the techniques of Presymplectic Geometry. We obtain the symplectic structure of the space of light rays in a medium of a non constant refractive index by reduction from a presymplectic structure, and using adapted ...
Abraham +21 more
core +2 more sources
Curvature Dependent Energy of Surface Curves in Minkowski Space
International Journal of Analysis and Applications, 2018 In this paper, we firstly introduce kinematics properties of the moving particle lying on a surface S. We assume that the particle corresponds to a different type of surface curves such that they are characterized by using the Darboux vector field W in ...
Talat Korpınar +2 more
doaj +2 more sources
The Frenet and Darboux Instantaneous Rotation Vectors of Curves on Time-Like Surface [PDF]
Mathematical and Computational Applications, 1996 In this paper, depending on the Darboux instantaneous rotation vector of a solid perpendicular trihedron in the Minkowski 3-space [...]
UĞURLU, HASAN HÜSEYİN +1 more
openaire +2 more sources
Integrable discrete nets in Grassmannians
, 2008 We consider discrete nets in Grassmannians $\mathbb{G}^d_r$ which generalize Q-nets (maps $\mathbb{Z}^N\to\mathbb{P}^d$ with planar elementary quadrilaterals) and Darboux nets ($\mathbb{P}^d$-valued maps defined on the edges of $\mathbb{Z}^N$ such that ...
A. Doliwa +10 more
core +1 more source
C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor +2 more
wiley +1 more source
Darboux transforms on Band Matrices, Weights and associated Polynomials
, 1999 Classically, it is well known that a single weight on a real interval leads to orthogonal polynomials. In "Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems", Comm. Math. Phys. 207, pp.
Adler, Mark, van Moerbeke, Pierre
core +3 more sources
Darboux theory of integrability for a class of nonautonomous vector fields [PDF]
Journal of Mathematical Physics, 2009 The goal of this paper is to extend the classical Darboux theory of integrability from autonomous polynomial vector fields to a class of nonautonomous vector fields. We also provide sufficient conditions for applying this theory of integrability and we illustrate this theory in several examples.
Llibre Saló, Jaume, Pantazi, Chara
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Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 more
wiley +1 more source