Results 141 to 150 of about 6,848 (171)

Characterisation of cylindrical curves. [PDF]

Mon Hefte Math, 2015
Starostin EL, van der Heijden GH.
europepmc   +1 more source

The modified alternative (G'/G)-expansion method to nonlinear evolution equation: application to the (1+1)-dimensional Drinfel'd-Sokolov-Wilson equation. [PDF]

Springerplus, 2013
Akbar MA, Mohd Ali NH, Mohyud-Din ST.
europepmc   +1 more source

The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures. [PDF]

Proc Math Phys Eng Sci, 2019
Zhang G, Yan Z, Wang L.
europepmc   +1 more source

Neuro-computing solution for Lorenz differential equations through artificial neural networks integrated with PSO-NNA hybrid meta-heuristic algorithms: a comparative study. [PDF]

Sci Rep
Aslam MN, Aslam MW, Arshad MS, Afzal Z, Hassani MK, Zidan AM, Akgül A.   +6 more
europepmc   +1 more source

Correcting Duporcq's theorem.

Mech Mach Theory, 2014
Nawratil G.
europepmc   +1 more source

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DARBOUX POLYNOMIALS AND ALGEBRAIC INTEGRABILITY OF THE CHEN SYSTEM

International Journal of Bifurcation and Chaos, 2007
In this paper, we characterize all the Darboux polynomials of the Chen system, [Formula: see text], and prove that the system is not algebraic integrability. For proving the results, we use the weight homogeneous polynomials and the method of characteristics.
Lü, Tinghua, Zhang, Xiang
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Darboux polynomials and first integrals of polynomial Hamiltonian systems

Communications in Nonlinear Science and Numerical Simulation, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrei Pranevich, Alexander Grin, Eduard Musafirov   +2 more
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Darboux Polynomials for Lie Algebras

IFAC Proceedings Volumes, 2011
Abstract Darboux polynomials and relative characteristic polynomials extend to time-invariant nonlinear systems the concept of eigenvector-eigenvalue pair for linear systems, and are, therefore, very useful to depict the behavior of the system. In this article, using tools such as Lie algebras, it is shown how Darboux polynomials can be characterized ...
MENINI, LAURA, TORNAMBE', ANTONIO
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The Darboux Polynomials and Integrability of Polynomial Levinson–Smith Differential Equations

International Journal of Bifurcation and Chaos, 2023
We provide the necessary and sufficient conditions of Liouvillian integrability for nondegenerate near infinity polynomial Levinson–Smith differential equations. These equations generalize Liénard equations and are used to describe self-sustained oscillations. Our results are valid for arbitrary degrees of the polynomials arising in the equations.
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