Results 11 to 20 of about 3,531,269 (377)
On the calculation of finite-gap solutions of the KdV equation [PDF]
, 1999 A simple and general approach for calculating the elliptic finite-gap solutions of the Korteweg-de Vries (KdV) equation is proposed. Our approach is based on the use of the finite-gap equations and the general representation of these solutions in the ...
Bateman H. +10 more
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Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations
Моделирование и анализ информационных систем, 2014 The problem of constructing and classifying elliptic solutions of nonlinear differential equations is studied. An effective method enabling one to find an elliptic solution of an autonomous nonlinear ordinary differential equation is described.
M. V. Demina, N. A. Kudryashov
doaj +1 more source
Elliptic Yang–Mills equation [PDF]
Proceedings of the National Academy of Sciences, 2002 We discuss some recent progress on the regularity theory of the elliptic Yang–Mills equation. We start with some basic properties of the elliptic Yang–Mills equation, such as Coulomb gauges, monotonicity, and curvature estimates. Next we discuss singularity of stationary Yang–Mills connections and compactness theorems on Yang–Mills ...
openaire +2 more sources
Blowup equations for 6d SCFTs. Part I
Journal of High Energy Physics, 2019 We propose novel functional equations for the BPS partition functions of 6d (1, 0) SCFTs, which can be regarded as an elliptic version of Göttsche-Nakajima-Yoshioka’s K-theoretic blowup equations.
Jie Gu +3 more
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Solving Elliptic Diophantine Equations Avoiding Thue Equations and Elliptic Logarithms [PDF]
Experimental Mathematics, 1998 We determine the solutions in integers of the equation y2 = (x + p)(x2 + p2) for p = 167, 223, 337, 1201. The method used was suggested to us by Yu. Bilu, and is shown to be in some cases more efficient than other general purpose methods for solving such equations, namely the elliptic logarithms method and the use of Thue equations.
openaire +3 more sources
Cotton-Type and Joint Invariants for Linear Elliptic Systems
The Scientific World Journal, 2013 Cotton-type invariants for a subclass of a system of two linear elliptic equations, obtainable from a complex base linear elliptic equation, are derived both by spliting of the corresponding complex Cotton invariants of the base complex equation and from
A. Aslam, F. M. Mahomed
doaj +1 more source
Unique Continuation for Fractional Orders of Elliptic Equations [PDF]
, 2016 We establish the strong unique continuation property of fractional orders of linear elliptic equations with Lipschitz coefficients by establishing almost monotonicity for an Almgren-type frequency functional via an extension procedure.
Hui Yu
semanticscholar +1 more source
On families of 9-congruent elliptic curves [PDF]
, 2015 We compute equations for the families of elliptic curves 9-congruent to a given elliptic curve. We use these to find infinitely many non-trivial pairs of 9-congruent elliptic curves over Q, i.e.
Fisher, Tom
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Elliptic blowup equations for 6d SCFTs. Part III. E-strings, M-strings and chains
Journal of High Energy Physics, 2020 We establish the elliptic blowup equations for E-strings and M-strings and solve elliptic genera and refined BPS invariants from them. Such elliptic blowup equations can be derived from a path integral interpretation.
Jie Gu +4 more
doaj +1 more source
Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions [PDF]
, 2019 We develop general criteria that ensure that any non-zero solution of a given second-order difference equation is differentially transcendental, which apply uniformly in particular cases of interest, such as shift difference equations, q-dilation ...
Arreche, Carlos E. +2 more
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