Higher-order Kerr terms allow ionization-free filamentation in gases
We show that higher-order nonlinear indices ($n_4$, $n_6$, $n_8$, $n_{10}$) provide the main defocusing contribution to self-channeling of ultrashort laser pulses in air and Argon at 800 nm, in contrast with the previously accepted mechanism of ...
Béjot, P. +10 more
core +13 more sources
Complete tangent stiffness matrix considering higher-order terms in the strain tensor and large rotations for a Euler Bernoulli - Timoshenko space beam-column element. [PDF]
This paper presents a unified method developed by Rodrigues et al. [1] to obtain a complete tangent stiffness matrix for spatial geometric nonlinear analysis using minimal discretization.
Rodrigues MAC, Burgos RB, Martha LF.
europepmc +2 more sources
Critical Combinations of Higher Order Terms in Einstein-Maxwell theory and Compactification [PDF]
We discuss the role of a particular combination of higher derivative terms in higher dimensional theories, especially in the background of spontaneous compactification. We find that the special extension of Einstein-Maxwell theory with higher order terms
Kan, Nahomi, Shiraishi, Kiyoshi
core +4 more sources
Higher order terms in multiscale expansions: a linearized KdV hierarchy [PDF]
We consider a wide class of model equations, able to describe wave propagation in dispersive nonlinear media. The Korteweg-de Vries (KdV) equation is derived in this general frame under some conditions, the physical meanings of which are clarified. It is
Leblond, H.
core +7 more sources
In this paper we study the modification of thermodynamic properties of Schwarzschild and Reissner-Nordstr\"{o}m black hole in the framework of generalized uncertainty principle with correction terms upto fourth order in momentum uncertainty.
Dutta, Abhijit, Gangopadhyay, Sunandan
core +2 more sources
Nested Term Graphs (Work In Progress) [PDF]
We report on work in progress on 'nested term graphs' for formalizing higher-order terms (e.g. finite or infinite lambda-terms), including those expressing recursion (e.g. terms in the lambda-calculus with letrec).
Grabmayer, Clemens, van Oostrom, Vincent
core +6 more sources
A radiative seesaw model with higher order terms under an alternative $U(1)_{B-L}$
We propose a model based on an alternative $U(1)_{B-L}$ gauge symmetry with 5 dimensional operators in the Lagrangian, and we construct the neutrino masses at one-loop level, and discuss lepton flavor violations, dark matter, and the effective number of ...
Nomura, Takaaki, Okada, Hiroshi
core +3 more sources
Global attractivity of a higher order nonlinear difference equation with unimodal terms [PDF]
In the present paper, we study the asymptotic behavior of the following higher order nonlinear difference equation with unimodal terms \[x(n+1)= ax(n)+ bx(n)g(x(n)) + cx(n-k)g(x(n-k)), \quad n=0, 1, \ldots,\] where \(a\), \(b\) and \(c\) are constants ...
Abdulaziz Almaslokh, Chuanxi Qian
doaj +1 more source
Conflict between some higher-order curvature invariant terms
A viable quantum theory does not allow curvature invariant terms of different higher orders to be accommodated in the gravitational action. We show that there is indeed a conflict between the curvature squared and Gauss-Bonnet squared terms from the ...
Dalia Saha +3 more
doaj +1 more source
Accuracy enhancement of modal analysis using higher-order residual terms
This study proposes a method to improve the computational accuracy of modal analysis by considering higher-order residual terms in addition to the residual stiffness.
Keisuke YAMADA, Jinchen JI
doaj +1 more source

