Results 41 to 50 of about 904 (79)

Global well-posedness and soliton resolution for the half-wave maps equation with rational data

Forum of Mathematics, Sigma
We study the energy-critical half-wave maps equation: $$\begin{align*}\partial_t \mathbf{u} = \mathbf{u} \times |D| \mathbf{u} \end{align*}$$
Patrick Gérard, Enno Lenzmann
doaj   +1 more source

On a theorem by Treves

, 2004
According to a theorem of Treves, the conserved functionals of the KdV equation vanish on each formal Laurent series 1/x^2 + u0 + u2 x^2 + u3 x^3 + >... .
Carlo Morosi, Livio Pizzocchero, Treves F., Treves F.   +3 more
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Rogue peakon, posedness and blow-up phenomenon for an integrable Camassa–Holm type equation

Advances in Nonlinear Analysis
In this paper, we study an integrable Camassa–Holm (CH) type equation with quadratic nonlinearity. The CH type equation is shown integrable through a Lax pair, and particularly the equation is found to possess a new kind of peaked soliton (peakon ...
Zhu Mingxuan, Qiao Zhijun, Wang Zhidong, Jiang Zaihong   +3 more
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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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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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UC and BUC plane partitions

European Physical Journal C: Particles and Fields
This paper is concerned with the investigation of UC and BUC plane partitions based upon the fermion calculus approach. We construct generalized the vertex operators in terms of free charged fermions and neutral fermions and present the interlacing ...
Shengyu Zhang, Zhaowen Yan
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Special Solutions of Bi-Riccati Delay-Differential Equations

, 2018
Delay-differential equations are functional differential equations that involve shifts and derivatives with respect to a single independent variable. Some integrability candidates in this class have been identified by various means.
Berntson, Bjorn K.
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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
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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
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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
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