Global integrability for solutions to quasilinear elliptic systems with degenerate coercivity
Sign Up to like & getrecommendations! Published in 2024 at "Mathematische Nachrichten"
DOI: 10.1002/mana.202200550
Abstract: This paper deals with global integrability for solutions to quasilinear elliptic systems involving N$N$ equations of the form −∑i=1nDi∑β=1N∑j=1nai,jα,β(x,u(x))Djuβ(x)=fα(x),inΩ,u(x)=0,on∂Ω,$$\begin{equation*} {\begin{cases} \displaystyle -\sum _{i=1}^n D_i {\left(\sum _{\beta =1}^N \sum _{j=1}^n a^{\alpha, \beta } _{i,j} (x,u(x)) D_j… read more here.
Keywords: elliptic systems; quasilinear elliptic; integrability; solutions quasilinear ... See more keywords
On integrability of a new dynamical system associated with the BBM‐type hydrodynamic flow
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10317
Abstract: This article explores the exceptional integrability property of a family of higher‐order Benjamin–Bona–Mahony (BBM)‐type nonlinear dispersive equations. Here, we highlight its deep relationship with a generalized infinite hierarchy of the integrable Riemann‐type hydrodynamic equations. A… read more here.
Keywords: integrability; bbm type; type hydrodynamic; dynamical system ... See more keywords
Non-integrability on AdS3 supergravity backgrounds
Sign Up to like & getrecommendations! Published in 2020 at "Journal of High Energy Physics"
DOI: 10.1007/jhep02(2020)027
Abstract: Abstract We investigate classical integrability on two recently discovered classes of back- grounds in massive IIA supergravity. These vacua are of the form AdS3 × S2 × ℝ × CY2, they preserve small $$ \mathcal{N}… read more here.
Keywords: integrability ads3; non integrability; supergravity backgrounds; integrability ... See more keywords
Integrability and Dynamics of the n-Dimensional Symmetric Veselova Top
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-018-9515-5
Abstract: We consider the n-dimensional generalization of the nonholonomic Veselova problem. We derive the reduced equations of motion in terms of the mass tensor of the body and determine some general properties of the dynamics. In… read more here.
Keywords: dynamics dimensional; integrability; dimensional symmetric; veselova top ... See more keywords
Solving Uncalibrated Photometric Stereo Using Fewer Images by Jointly Optimizing Low-rank Matrix Completion and Integrability
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Imaging and Vision"
DOI: 10.1007/s10851-017-0772-y
Abstract: We introduce a new, integrated approach to uncalibrated photometric stereo. We perform 3D reconstruction of Lambertian objects using multiple images produced by unknown, directional light sources. We show how to formulate a single optimization that… read more here.
Keywords: stereo using; stereo; integrability; photometric stereo ... See more keywords
Integrability and limit cycles in cubic Kukles systems with a nilpotent singular point
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-04805-0
Abstract: In this paper, integrability problem and bifurcation of limit cycles for cubic Kukles systems which are assumed to have a nilpotent origin are investigated. A complete classification is given on the integrability conditions and proven… read more here.
Keywords: cubic kukles; kukles systems; integrability; limit cycles ... See more keywords
Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models
Sign Up to like & getrecommendations! Published in 2019 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2018.12.011
Abstract: Abstract We consider several anisotropic extensions of the Belavin model, and show that integrability holds also for the massive case for some specific relations between the coupling constants. This is done by relating the S-matrix… read more here.
Keywords: anisotropic extensions; vertex model; integrability; solutions eight ... See more keywords
An analytical scheme on complete integrability of 2D biophysical excitable systems
Sign Up to like & getrecommendations! Published in 2021 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2021.125924
Abstract: Abstract We report a method to find the complete integrability and analytical scheme of a well-known two dimensional (2D) excitable biophysical system that includes a coupled non-linear ordinary differential equations (ODEs). We demonstrate the integrability… read more here.
Keywords: integrability biophysical; method; analytical scheme; complete integrability ... See more keywords
The hydrogen atom in the van der Waals potential combined by magnetic and electric fields, Painlevé analysis, and integrability
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5090485
Abstract: In this article, we studied the problem of the Colombian potential perturbed by van der Waals potential interacting with combined electric and magnetic fields, known as Stark and Zeeman effects, and we determined new integrable… read more here.
Keywords: analysis integrability; van der; der waals; integrability ... See more keywords
Top on a smooth plane.
Sign Up to like & getrecommendations! Published in 2024 at "Chaos"
DOI: 10.1063/5.0200592
Abstract: We investigate the dynamics of a sliding top that is a rigid body with an ideal sharp tip moving in a perfectly smooth horizontal plane, so no friction forces act on the body. We prove… read more here.
Keywords: classical top; integrability; plane; two cases ... See more keywords
Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Nonlinear Mathematical Physics"
DOI: 10.1080/14029251.2020.1819612
Abstract: We consider the complex differential system ẋ = x + y f (x) , ẏ = −y + x f (y) , where f is the analytic function . This system has a weak saddle… read more here.
Keywords: integrability; generalized nard; weak saddle; saddle generalized ... See more keywords