Results 31 to 40 of about 852 (42)

Canonically conjugate variables for the periodic Camassa-Holm equation

, 2004
The Camassa-Holm shallow water equation is known to be Hamiltonian with respect to two compatible Poisson brackets. A set of conjugate variables is constructed for both brackets using spectral theory.Comment: 10 pages, no figures, LaTeX; v.
Alber M S, Alexei V Penskoi, Flaschka H, Gesztesy F, Krichever I M, Krichever I M, Veselov A P, Veselov A P, Veselov A P   +8 more
core   +1 more source

On a unified formulation of completely integrable systems

, 2011
The purpose of this article is to show that a $\mathcal{C}^1$ differential system on $\R^n$ which admits a set of $n-1$ independent $\mathcal{C}^2$ conservation laws defined on an open subset $\Omega\subseteq \R^n$, is essentially $\mathcal{C}^1 ...
Abraham, Arnold, Ay, Bogoyavlenskij, Darling, Giné, Gürses, Holm, Holm, Holm, Marsden, Nambu, Ratiu, Răzvan M. Tudoran, Takhtajan   +14 more
core   +1 more source

From Hurwitz numbers to Kontsevich-Witten tau-function: a connection by Virasoro operators

, 2013
In this letter,we present our conjecture on the connection between the Kontsevich--Witten and the Hurwitz tau-functions. The conjectural formula connects these two tau-functions by means of the $GL(\infty)$ group element.
A. Alexandrov, A. Alexandrov, A. Alexandrov, A. Alexandrov, A. Alexandrov, A. Givental, A. Givental, A. Givental, A. Mironov, A. Mironov, A. Mironov, A. Morozov, A. Morozov, A. Okounkov, A.S. Alexandrov, A.S. Alexandrov, A.S. Alexandrov, A.S. Schwarz, Alexander Alexandrov, C. Faber, C. Itzykson, E. Witten, G. Borot, I. Goulden, I. Kostov, I. Kostov, I.P. Goulden, M. Aganagic, M. Kazarian, M. Kontsevich, S. Kharchev, T. Ekedahl, T. Miwa, T. Shiota, V. Bouchard, V. Kac   +35 more
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Canonically Conjugate Variables for the μCH Equation [PDF]

, 2012
2010 Mathematics Subject Classification: 35Q35, 37K10.We consider the μCH equation which arises as an asymptotic rotator equation in a liquid crystal with a preferred direction if one takes into account the reciprocal action of dipoles on themselves ...
Christov, Ognyan
core  

On one integrable system with a cubic first integral

, 2011
Recently one integrable model with a cubic first integral of motion has been studied by Valent using some special coordinate system. We describe the bi-Hamiltonian structures and variables of separation for this system.Comment: LaTeX with AMS fonts, 9 ...
A. Ibort, A.V. Tsiganov, A.V. Tsiganov, A.V. Tsiganov, A.V. Tsiganov, A.V. Vershilov, Alexander Vladimirovich Vershilov, Andrey Vladimirovich Tsiganov, C.G.J. Jacobi, E.N. Selivanova, G. Falqui, G. Valent, H.W. Braden, K. Kiyohara, P. Vanhaecke, V.M. Buchstaber, Yu.A. Grigoryev   +16 more
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The sixth Painleve equation arising from D_4^{(1)} hierarchy

, 2006
The sixth Painleve equation arises from a Drinfel'd-Sokolov hierarchy associated with the affine Lie algebra of type D_4 by similarity reduction.Comment: 14 ...
Carter R, Delduc F, Iwasaki K, Kac V G, Kakei S Kikuchi T, Kawamuko H, Kenta Fuji, Noumi M, Noumi M, Noumi M Yamada Y Kirillov A N Tsuchiya A Umemura H, Takao Suzuki   +10 more
core   +1 more source

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

Recursion operator for the IGSG equation

, 2006
In this paper we find the inverse and direct recursion operator for the intrinsic generalized sine-Gordon equation in any number $n > 2$ of independent variables.
Marvan, M., Pobořil, M.
core  

Generalizations of the short pulse equation. [PDF]

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

Integrability and Linear Stability of Nonlinear Waves. [PDF]

J Nonlinear Sci, 2018
Degasperis A, Lombardo S, Sommacal M.
europepmc   +1 more source