Results 11 to 20 of about 256,760 (248)
A note on the integrability of exceptional potentials via polynomial bi-homogeneous potentials
Bulletin of Computational Applied Mathematics, 2021 This paper is concerned with the polynomial integrability of the two-dimensional Hamiltonian systems associated to complex homogeneous polynomial potentials of degree $k$ of type $V_{k,l}=α(q_2-i q_1)^l (q_2+iq_1)^{k-l}$ with $α\in\mathbb{C}$ and $l=0,1,\dots, k$, called exceptional potentials.
Primitivo B. Acosta-Humánez +2 more
openaire +5 more sources
Long-Range Scattering for a Critical Homogeneous Type Nonlinear Schrödinger Equation with Time-Decaying Harmonic Potentials [PDF]
Social Science Research Network, 2022 This paper is concerned with the final state problem for the homogeneous type nonlinear Schr\"odinger equation with time-decaying harmonic potential. The nonlinearity has the critical order and is not necessarily the form of a polynomial.
Masaki Kawamoto, H. Miyazaki
semanticscholar +1 more source
Monoparametric Families of Orbits Produced by Planar Potentials
Axioms, 2023 We study the motion of a test particle on the xy−plane. The particle trajectories are given by a one-parameter family of orbits f(x,y) = c, where c = const.
Thomas Kotoulas
doaj +1 more source
LAURENT POLYNOMIAL LANDAU–GINZBURG MODELS FOR COMINUSCULE HOMOGENEOUS SPACES [PDF]
Transformation groups, 2019 In this article we construct Laurent polynomial Landau–Ginzburg models for cominuscule homogeneous spaces. These Laurent polynomial potentials are defined on a particular algebraic torus inside the Lie-theoretic mirror model constructed for arbitrary ...
P. Špaček
semanticscholar +1 more source
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 The possibility of constructing a full-parametric analytical solution of the stress-strain state problem for the body caused by the influence of volumetric forces is studied.
Viktor Borisovich Pen'kov +2 more
doaj +1 more source
Co-positivity of tensors and bounded from below conditions of CP conserving two-Higgs-doublet potential [PDF]
International Journal of Modern Physics A, 2022 In this paper, the analytic sufficient and necessary conditions are obtained for the CP conserving two-Higgs-doublet potential to be bounded from below by using the co-positivity of tensors.
Yisheng Song
semanticscholar +1 more source
Inflation without a trace of lambda
European Physical Journal C: Particles and Fields, 2020 We generalise Einstein’s formulation of the traceless Einstein equations to f(R) gravity theories. In the case of the vacuum traceless Einstein equations, we show that a non-constant Weyl tensor leads via a conformal transformation to a dimensionally ...
John D. Barrow, Spiros Cotsakis
doaj +1 more source
Isoparametric singularity extraction technique for 3D potential problems in BEM [PDF]
Computer Methods in Applied Mechanics and Engineering, 2022 To solve boundary integral equations for potential problems using collocation Boundary Element Method (BEM) on smooth curved 3D geometries, an analytical singularity extraction technique is employed.
Tadej Kanduč
semanticscholar +1 more source
Polynomial Deceleration Parameter Explaining Bianchi Type I Model
GANIT Journal of Bangladesh Mathematical Society, 2023 The focus of the current research investigates the dynamical behavior of the universe within the framework of a new Bianchi type-I anisotropic, homogeneous astrophysical models with a modified theory of f(R, T) gravity.
Jenia Fardousi Koly +3 more
semanticscholar +1 more source
On the integrability of the Hamiltonian systems with homogeneous polynomial potentials [PDF]
Applied Mathematics and Nonlinear Sciences, 2018 Abstract We summarize the known results on the integrability of the complex Hamiltonian systems with two degrees of freedom defined by the Hamiltonian functions of the form
Llibre, Jaume, Zhang, Xiang
openaire +4 more sources