Results 71 to 80 of about 1,801 (94)

The integral type gauge transformation and the additional symmetry for the constrained KP hierarchy [PDF]

arXiv, 2012
In this paper, the compatibility between the integral type gauge transformation and the additional symmetry of the constrained KP hierarchy is given. And the string-equation constraint in matrix models is also derived.
arxiv  

The KdV hierarchy in terms of whole powers of an integro-differential operator [PDF]

arXiv, 2020
It is shown that equations of the Korteweg-de Vries hierarchy and their conservation laws can be expressed via the whole powers of an integro-differential operator and functions provided by them.
arxiv  

Rationality in map and hypermap enumeration by genus [PDF]

arXiv, 2016
Generating functions for a fixed genus map and hypermap enumeration become rational after a simple explicit change of variables. Their numerators are polynomials with integer coefficients that obey a differential recursion, and denominators are products of powers of explicit linear functions.
arxiv  

3D-consistency of negative flows [PDF]

Theor. Math. Phys. 221, 1836-1851 (2024)
We study the 3D-consistency property for negative symmetries of KdV type equations. Its connection with the 3D-consistency of discrete equations is explained.
arxiv   +1 more source

K-theoretic Gromov--Witten invariants in genus 0 and integrable hierarchies [PDF]

arXiv, 2016
We prove that the genus-0 invariants in K-theoretic Gromov--Witten theory are governed by an integrable hierarchy of hydrodynamic type. If the K-theoretic quantum product is semisimple, then we also prove the completeness of the hierarchy.
arxiv  

Sur un système intégrable à bord [PDF]

arXiv, 2018
[French] We develop new applications of Sklyanin's $K$-matrix formalism to the study of periodic solutions of the sinh-Gordon equation.
arxiv  

The mKdV and NLS hierarchies revisited [PDF]

arXiv, 2016
The purpose of this paper is to express the entire hierarchy of mKdV vector fields as restrictions of vector fields in the NLS hierarchy. The result is proved using the normal form theory of the two equations.
arxiv  

Integrable non-abelization of the flow on an elliptic curve [PDF]

arXiv, 2018
An integrable non-abelian generalization of a Hamiltonian flow on an elliptic curve is presented. A Lax pair for this non-abelian system is found.
arxiv  

Spread mechanism and control strategy of social network rumors under the influence of COVID-19. [PDF]

Nonlinear Dyn, 2020
Hui H, Zhou C, Lü X, Li J.
europepmc   +1 more source

Generalizations of the short pulse equation. [PDF]

Lett Math Phys, 2018
Hone ANW, Novikov V, Wang JP.
europepmc   +1 more source