Results 31 to 40 of about 505,503 (271)

Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2 [PDF]

Applied Mathematics and Computation, 2021
Agraïments: FEDER-UNAB-10-4E-378, and a CAPES Grant No. 88881. 030454/2013-01 from the program CSF-PVE. The second authors is partially supported by the project CAPES Grant No. 88881.030454/2013-01 from the program CSF-PVE and CNPq grant "Projeto Universal 472796/2013-5". The second author is supported by CAPES/GDU - 7500/13-0.
Llibre, Jaume, Lopes, Bruno D., Moraes, Jaime R. de   +2 more
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The Elliptic Double-Box Integral: Massless Amplitudes Beyond Polylogarithms [PDF]

, 2018
We derive an analytic representation of the ten-particle, two-loop double-box integral as an elliptic integral over weight-three polylogarithms. To obtain this form, we first derive a four-fold, rational (Feynman-)parametric representation for the ...
Bourjaily, Jacob L., McLeod, Andrew J., Spradlin, Marcus, von Hippel, Matt, Wilhelm, Matthias   +4 more
core   +2 more sources

On the Heegaard Floer homology of Dehn surgery and unknotting number [PDF]

, 2013
n this thesis we generalise three theorems from the literature on Heegaard Floer homology and Dehn surgery: one by Ozsv ́ath and Szab ́o on deficiency symmetries in half-integral L -space surgeries, and two by Greene which use Donaldson’s diagonali-
Gibbons, Julian Charles, Gibbons, Julian Charles   +1 more
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Finding elementary first integrals for rational second order ordinary differential equations [PDF]

Journal of Mathematical Physics, 2009
Here we present a semialgorithm to find elementary first integrals of a class of rational second order ordinary differential equations. The method is based on a Darboux-type procedure and it is an attempt to construct an analogous of the method built by Prelle and Singer [“Elementary first integral of differential equations,” Trans. Am. Math. Soc. 279,
Duarte, L. G. S., da Mota, L. A. C. P.
openaire   +1 more source

Darboux and Analytic First Integrals of the Generalized Michelson System [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
The purpose of this work is to demonstrate that, for any value of a_1, a_2, and a_3, the generalized Michelson system u ̇= v,v ̇=w,w ̇= a_1 +a_2 v+ a_3 w-u^2/2 has neither a Darboux nor a rational first integral.
Shno Mohammed, Kardo Othman
doaj   +1 more source

Optical solitons with an extended (3+1)-dimensional nonlinear conformable Schrödinger equation including cubic–quintic nonlinearity

Results in Physics, 2023
In this paper, we study the extended (3+1)-dimensional nonlinear conformable Schrödinger equation with cubic–quintic nonlinearity. We use three different methods to obtain exact solutions of this equation: the G′/G expansion method, the extended ...
Mohammad Mirzazadeh, A. Sharif, Mir Sajjad Hashemi, Ali Akgül, Sayed M. El Din   +4 more
doaj   +1 more source

Locally harmonic Maass forms and the kernel of the Shintani lift [PDF]

, 2014
In this paper we define a new type of modular object and construct explicit examples of such functions. Our functions are closely related to cusp forms constructed by Zagier which played an important role in the construction by Kohnen and Zagier of a ...
Bringmann, Kathrin, Kane, Ben, Kohnen, Winfried   +2 more
core   +3 more sources

Rational Approximations to the Incomplete Elliptic Integrals of the First and Second Kinds [PDF]

Mathematics of Computation, 1967
Rational approximations to incomplete elliptic integral of first and second kinds derived by main diagonal Pade ...
Fair, W. G., Luke, Y. L.
openaire   +1 more source

Conservation laws and integral relations for the Boussinesq equation [PDF]

, 2016
We are concerned with conservation laws and integral relations associated with rational solutions of the Boussinesq equation, a soliton equation solvable by inverse scattering which was first introduced by Boussinesq in 1871.
Boussinesq J., Boussinesq J., Hereman W., Infeld E., Kadomtsev B. B., Manakov S. V., Pelinovsky D. E., Scott A. C., Whitham G. B., Zabusky N. J., Zakharov V. E., Zakharov V. E.   +11 more
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Planar analytic vector fields with generalized rational first integrals

Bulletin des Sciences Mathématiques, 2001
The analytic vector field \(X=P \frac{\partial}{\partial w}+ Q \frac{\partial}{\partial z}\) in the neighborhood of the elementary singular point in \(C^2\) is considered. The first result is the degeneration of a theorem of Poincaré on a necessary condition for the existence of rational first integrals of the polynomial vector field.
Li, Weigu, Llibre, Jaume, Zhang, Xiang
openaire   +2 more sources