Results 21 to 30 of about 1,663 (71)
IET Microwaves, Antennas &Propagation, Volume 15, Issue 10, Page 1249-1269, 12 August 2021., 2021 Abstract The radiation of a double‐layer spherical dielectric lens equipped with a conformal spherical‐disk PEC reflector and excited by elementary sources located on the antenna axis of rotation is considered. The sources are either a radial electric dipole or a tangential magnetic dipole.
Maria E. Tikhenko +3 more
wiley +1 more source
Proceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020 Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
wiley +1 more source
On Bohr's theorem for general Dirichlet series
Mathematische Nachrichten, Volume 293, Issue 8, Page 1591-1612, August 2020., 2020 Abstract We present quantitative versions of Bohr's theorem on general Dirichlet series D=∑ane−λns assuming different assumptions on the frequency λ=(λn), including the conditions introduced by Bohr and Landau. Therefore, using the summation method by typical (first) means invented by M.
I. Schoolmann
wiley +1 more source
Existence of Multiple Periodic Solutions for Cubic Nonautonomous Differential Equation
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 In this article, approaches to estimate the number of periodic solutions of ordinary differential equation are considered. Conditions that allow determination of periodic solutions are discussed. We investigated focal values for first‐order differential nonautonomous equation by using the method of bifurcation analysis of periodic solutions from a fine
Saima Akram +5 more
wiley +1 more source
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 The present work is related to solving the fractional generalized Korteweg‐de Vries (gKdV) equation in fractional time derivative form of order α. Some exact solutions of the fractional‐order gKdV equation are attained by employing the new powerful expansion approach by using the beta‐fractional derivative which is used to get many solitary wave ...
Majid Bagheri +2 more
wiley +1 more source
Universal Curves in the Center Problem for Abel Differential Equations
, 2014 We study the center problem for the class $\mathcal E_\Gamma$ of Abel differential equations $\frac{dv}{dt}=a_1 v^2+a_2 v^3$, $a_1,a_2\in L^\infty ([0,T])$, such that images of Lipschitz paths $\tilde A:=\bigl(\int_0^\cdot a_1(s)ds, \int_0^\cdot a_2(s)ds\
Brudnyi, Alexander
core +1 more source
Vanishing Abelian integrals on zero-dimensional cycles
, 2011 In this paper we study conditions for the vanishing of Abelian integrals on families of zero-dimensional cycles. That is, for any rational function $f(z)$, characterize all rational functions $g(z)$ and zero-sum integers $\{n_i\}$ such that the function $
Mardesić, Pavao +2 more
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Singular Phases of Seiberg-Witten Integrable Systems: Weak and Strong Coupling [PDF]
, 2000 We consider the singular phases of the smooth finite-gap integrable systems arising in the context of Seiberg-Witten theory. These degenerate limits correspond to the weak and strong coupling regimes of SUSY gauge theories.
Braden, H. W., Marshakov, A.
core +2 more sources
Elliptic solutions to difference non-linear equations and related many-body problems
, 1997 We study algebro-geometric (finite-gap) and elliptic solutions of fully discretized KP or 2D Toda equations. In bilinear form they are Hirota's difference equation for $\tau$-functions.
Krichever, I. +2 more
core +1 more source
Superintegrable St\"ackel Systems on the Plane: Elliptic and Parabolic Coordinates [PDF]
, 2012 Recently we proposed a generic construction of the additional integrals of motion for the St\"ackel systems applying addition theorems to the angle variables.
Tsiganov, Andrey V.
core +4 more sources