Zobrazeno 1 - 10
of 169
pro vyhledávání: '"Novikov, Vladimir P."'
Autor:
Novikov, Vladimir, Wang, Jing Ping
We propose a novel approach to tackle integrability problem for evolutionary differential-difference equations (D$\Delta$Es) on free associative algebras, also referred to as nonabelian D$\Delta$Es. This approach enables us to derive necessary integr
Externí odkaz:
http://arxiv.org/abs/2404.02326
Einstein-Weyl geometry is a triple (D,g,w), where D is a symmetric connection, [g] is a conformal structure and w is a covector such that: (i) connection D preserves the conformal class [g], that is, Dg=wg; (ii) trace-free part of the symmetrised Ric
Externí odkaz:
http://arxiv.org/abs/2104.02716
Publikováno v:
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, Vol 23, Iss 1, Pp 24-35 (2023)
It is well-known that the Lagrange interpolation based on the Chebyshev nodes may be divergent everywhere (for arbitrary nodes, almost everywhere), like the Fourier series of a summable function. On the other hand, any measurable almost everywhere fi
Externí odkaz:
https://doaj.org/article/238e73aa608e4461848f906b05e31f6d
Publikováno v:
Proceedigns Royal Society A 476, 20190642 (2020)
We study second-order PDEs in 4D for which the conformal structure defined by the characteristic variety of the equation is half-flat (self-dual or anti-self-dual) on every solution. We prove that this requirement implies the Monge-Ampere property. S
Externí odkaz:
http://arxiv.org/abs/2002.00373
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We consider a Lax pair found by Xia, Qiao and Zhou for a family of two-component analogues of the Camassa-Holm equation, including an arbitrary function $H$, and show that this apparent freedom can be removed via a combination of a reciprocal transfo
Externí odkaz:
http://arxiv.org/abs/1805.03323
Let $Gr(d,n)$ be the Grassmannian of $d$-dimensional linear subspaces of an $n$-dimensional vector space $V$. A submanifold $X\subset Gr(d, n)$ gives rise to a differential system $\Sigma(X)$ that governs $d$-dimensional submanifolds of $V$ whose Gau
Externí odkaz:
http://arxiv.org/abs/1705.06999
We investigate a class of multi-dimensional two-component systems of Monge-Amp\`ere type that can be viewed as generalisations of heavenly-type equations appearing in self-dual Ricci-flat geometry. Based on the Jordan-Kronecker theory of skew-symmetr
Externí odkaz:
http://arxiv.org/abs/1701.02270
We classify integrable scalar polynomial partial differential equations of second order generalizing the short pulse equation.
Externí odkaz:
http://arxiv.org/abs/1612.02481
Akademický článek
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