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Mathieu equation and Elliptic curve [PDF]
Communications in Theoretical Physics, 2011 We present a relation between the Mathieu equation and a particular elliptic curve. We find that the Floquet exponent of the Mathieu equation, for both $q>1$, can be obtained from the integral of a differential one form along the two homology cycles of ...
He, Wei, Miao, Yan-Gang
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Salient features of dressed elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$ R×S2
European Physical Journal C: Particles and Fields, 2019 We study several physical aspects of the dressed elliptic strings propagating on $$\mathbb {R} \times \mathrm {S}^2$$ R×S2 and of their counterparts in the Pohlmeyer reduced theory, i.e. the sine-Gordon equation.
Dimitrios Katsinis +2 more
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M-Breather, Lumps, and Soliton Molecules for the 2+1-Dimensional Elliptic Toda Equation
Advances in Mathematical Physics, 2021 The 2+1-dimensional elliptic Toda equation is a higher dimensional generalization of the Toda lattice and also a discrete version of the Kadomtsev-Petviashvili-1 (KP1) equation. In this paper, we derive the M-breather solution in the determinant form for
Yuechen Jia, Yu Lu, Miao Yu, Hasi Gegen
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Supercritical Elliptic Equations [PDF]
Advanced Nonlinear Studies, 2012 Abstract For an elliptic model equation with supercritical power non-linearity we give a complete description of radial solutions and discuss self-similar blow-up solutions.
Rupflin, M, Struwe, M
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Ninety years of Duffing’s equation [PDF]
Theoretical and Applied Mechanics, 2013 In the paper the origin of the so named ‘Duffing’s equation’ is shown. The author’s generalization of the equation, her published papers dealing with Duffing’s equation and some of the solution methods are presented.
Cvetićanin Livija
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Potentials for the singular elliptic equations and their application
Results in Applied Mathematics, 2020 Potential theory has played a paramount role in both analysis and computation for boundary value problems for elliptic equations. In the middle of the last century, a potential theory was constructed for a two-dimensional elliptic equation with one ...
T.G. Ergashev
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Potentials for a three-dimensional elliptic equation with one singular coefficient and their application [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 A potential theory for a three-dimensional elliptic equation with one singular coefficient is considered. Double- and simple-layer potentials with unknown density are introduced, which are expressed in terms of the fundamental solution of the mentioned ...
Tuhtasin G. Ergashev
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Short-Term Comparison of Several Solutinos of Elliptic Relative Motion [PDF]
Journal of Astronomy and Space Sciences, 2007 Recently introduced, several explicit solutions of relative motion between neighboring elliptic satellite orbits are reviewed. The performance of these solutions is compared with an analytic solution of the general linearized equation of motion.
Jung Hyun Jo +3 more
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Dispersive Optical Solitons for Stochastic Fokas-Lenells Equation With Multiplicative White Noise
Eng, 2022 For the first time, we study the Fokas–Lenells equation in polarization preserving fibers with multiplicative white noise in Itô sense. Four integration algorithms are applied, namely, the method of modified simple equation (MMSE), the method of sine ...
Elsayed M. E. Zayed +3 more
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An asymptotic preserving scheme for strongly anisotropic elliptic problems [PDF]
, 2009 In this article we introduce an asymptotic preserving scheme designed to compute the solution of a two dimensional elliptic equation presenting large anisotropies.
Degond, Pierre +2 more
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