Results 21 to 30 of about 505,503 (271)
Integrability of planar polynomial differential systems through linear differential equations [PDF]
, 2005 In this work, we consider rational ordinary differential equations dy/dx = Q(x,y)/P(x,y), with Q(x,y) and P(x,y) coprime polynomials with real coefficients.
Giacomini, Héctor +2 more
core +6 more sources
On foliations with rational first integral [PDF]
Proyecciones (Antofagasta), 2017 We use the Kodaira’s classification of relatively minimal elliptic fi- brations to prove that a holomorphic foliation in CP2 with a dicritical compact elliptic curve has rational first integral.
openaire +2 more sources
Rational first integrals of geodesic equations and generalised hidden symmetries [PDF]
Classical and Quantum Gravity, 2016 12 pages; v2: minor modifications; v3: further improvements, refs added, matches published version in ...
Aoki, Arata +2 more
openaire +2 more sources
Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems [PDF]
Journal of Nonlinear Mathematical Physics, 2021 We go beyond in the study of the integrability of the classical model of competition between three species studied by May and Leonard [19], by considering a more realistic asymmetric model. Our results show that there are no global analytic first integrals and we provide all proper rational first integrals of this extended model by classifying its ...
Llibre, Jaume, Valls, Clàudia
openaire +6 more sources
Brieskorn spheres bounding rational balls [PDF]
, 2017 Fintushel and Stern showed that the Brieskorn sphere $\Sigma(2,3,7)$ bounds a rational homology ball, while its non-trivial Rokhlin invariant obstructs it from bounding an integral homology ball.
Akbulut, Selman, Larson, Kyle
core +2 more sources
Zassenhaus conjecture for central extensions of S5 [PDF]
, 2008 We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Berman S. D. +12 more
core +3 more sources
A counterexample to the first Zassenhaus conjecture [PDF]
, 2017 Hans J. Zassenhaus conjectured that for any unit u of finite order in the integral group ring of a finite group G there exists a unit a in the rational group algebra of G such that a−1· u · a = ±g for some g ∈ G.
Eisele, F., Margolis, L.
core +3 more sources
AIP Advances, 2021 In this paper, we study the exact solitary wave solutions, periodic wave solutions, and bounded rational function solution of the high-order nonlinear Schrödinger equation and the evolutional relationships between the solitary and periodic wave solutions
Weiguo Zhang +3 more
doaj +1 more source
Calculation of integrals in MathPartner
Discrete and Continuous Models and Applied Computational Science, 2021 We present the possibilities provided by the MathPartner service of calculating definite and indefinite integrals. MathPartner contains software implementation of the Risch algorithm and provides users with the ability to compute antiderivatives for ...
Gennadi I. Malaschonok +1 more
doaj +1 more source
The integral Pontrjagin homology of the based loop space on a flag manifold [PDF]
, 2009 The based loop space homology of a special family of homogeneous spaces, flag manifolds of connected compact Lie groups is studied. First, the rational homology of the based loop space on a complete flag manifold is calculated together with its ...
Grbic, Jelena, Terzic, Svjetlana
core +3 more sources