Results 11 to 20 of about 1,751,206 (262)
Results in Physics, 2019 In this work, soliton solutions of higher order non-linear Schrödinger equation (NLSE) with derivative non-Kerr non-linear terms are constructed by employing two analytical techniques, namely, exp(-Φ(ζ))-expansion and improved simple equation methods ...
Muhammad Arshad +2 more
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Higher-Order Kerr Terms Allow Ionization-Free Filamentation in Gases
Physical Review Letters, 2010 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 filamentation where plasma was considered as the dominant defocusing process.
Béjot, P. +8 more
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A Reduction Ordering for Higher-Order Terms [PDF]
, 1999 We investigate one of the classical problems of the theory of term rewriting, namely termination. We present an ordering for comparing higher-order terms that can be utilized for testing termination and decreasingness of higher-order conditional term rewriting systems.
Avenhaus, Jürgen +2 more
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Review of the Influence of non-singular higher order terms on the stress field of thin welded lap joints and small inclined cracks in plates [PDF]
Fracture and Structural Integrity, 2017 In stress analysis of cracked plates, alongside the stress intensity factor which quantifies the singular stress component perpendicular to the crack plane, the role played in crack growth by the constant term parallel to the crack plane, called the T ...
F. Berto +3 more
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A new mechanism for freezing extra dimensions with higher-order curvature terms
Physics Letters B, 2020 We construct a model of higher dimensional cosmology in which extra dimensions are frozen by virtue of the cubic-order Lovelock gravity throughout the cosmic history from inflation to the present with radiation and matter-dominated regimes in between.
Hiroaki W.H. Tahara +2 more
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About Boundary Terms in Higher Order Theories [PDF]
, 2011 It is shown that when in a higher order variational principle one fixes fields at the boundary leaving the field derivatives unconstrained, then the variational principle (in particular the solution space) is not invariant with respect to the addition of boundary terms to the action, as it happens instead when the correct procedure is applied. Examples
FATIBENE, Lorenzo +2 more
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The Solution of a System of Higher-Order Difference Equations in Terms of Balancing Numbers
Pan-American Journal of Mathematics, 2023 In this paper, we are interested in the closed-form solution of the following system of nonlinear difference equations of higher order, un+1 = 1/34-vn-m , vn+1 = 1/34-un-m, n, m ∈ N0, and the initial values u-j and v-j , j∈{0, 1, ..., m} are real numbers
Ahmed Ghezal, Imane Zemmouri
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Combinatorial approach of the category $\Theta_0$ of cubical pasting diagrams [PDF]
Categories and General Algebraic Structures with ApplicationsIn globular higher category theory the small category $\Theta_0$ of finite rooted trees plays an important role: for example the objects of $\Theta_0$ are the arities of the operations inside the free globular $\omega$-operad $\mathbb{B}^0$ of Batanin ...
Camell Kachour
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Large deflection analysis of frames by elements containing higher-order terms
Vietnam Journal of Mechanics, 2003 In this paper, the beam elements using higher-order terms for large deflection analysis of elastic frames are discussed. The elements based on the co-rotational method are derived using the strain energy and effective strains.
Nguyen Dinh Kien, Do Quoc Quang
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Проблемы анализа, 2023 The starting point in the theory of differential inequalities for polynomials is the book "Investigation of aqueous solutions by specific gravity" by D. I. Mendeleev. In this work, he dealt not only with chemical, but also mathematical problems.
E. G. Kompaneets, L. G. Zybina
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