Results 91 to 100 of about 6,848 (171)

Coexistence of chaotic attractor and unstable limit cycles in a 3D dynamical system. [PDF]

Open Res Eur, 2021
Constantinescu D, Tigan G, Zhang X.
europepmc   +1 more source

On soliton solutions, periodic wave solutions and asymptotic analysis to the nonlinear evolution equations in (2+1) and (3+1) dimensions. [PDF]

Heliyon, 2023
Guo B, Fang Y, Dong H.
europepmc   +1 more source

Derivations on Polynomial Rings and the Darboux Polynomials [PDF]

Revista Ciencias Exatas e Naturais, 2017
Wálmisson Régis de Almeida, Marcelo Oliveira Veloso   +1 more
openaire   +1 more source

Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations. [PDF]

Entropy (Basel), 2022
Vitanov NK.
europepmc   +1 more source

Christoffel-Darboux type identities for independence polynomial

, 2014
In this paper we introduce some Christoffel-Darboux type identities for independence polynomials. As an application, we give a new proof of a theorem of M. Chudnovsky and P. Seymour, claiming that the independence polynomial of a claw-free graph has only real roots. Another application is related to a conjecture of Merrifield and Simmons.
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Darboux equivalence for matrix-valued orthogonal polynomials

In this work, we give some criteria that allow us to decide when two sequences of matrix-valued orthogonal polynomials are related via a Darboux transformation and to build explicitly such transformation. In particular, they allow us to see when and how any given sequence of polynomials is Darboux related to a diagonal matrix of classic orthogonal ...
Parisi, Ignacio Bono, Pacharoni, Inés, Zurrián, Ignacio   +2 more
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Automated Reasoning For The Existence Of Darboux Polynomials

Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation
Given a polynomial ordinary differential equation (ODE), we devise generic polynomial reduction algorithms to automatically investigate the intertwined relationship between the total degree of (nontrivial) Darboux polynomials and the polynomials defining the ODE.
Ghorbal, Khalil, Bridoux, Maxime
openaire   +2 more sources

Dispersive Hydrodynamics of Soliton Condensates for the Korteweg-de Vries Equation. [PDF]

J Nonlinear Sci, 2023
Congy T, El GA, Roberti G, Tovbis A.
europepmc   +1 more source

Free Field Realisation of the Chiral Universal Centraliser. [PDF]

Ann Henri Poincare, 2023
Beem C, Nair S.
europepmc   +1 more source

Hypergraphs and Lotka-Volterra Systems with Linear Darboux Polynomials

Journal of Dynamics and Differential Equations
Abstract We associate parametric classes of n-component Lotka-Volterra systems which admit k additional linear Darboux polynomials, with admissible loopless hypergraphs of order n and size k. We study the equivalence relation on admissible hypergraphs induced by linear transformations of the associated LV-systems, for
openaire   +2 more sources