Results 51 to 60 of about 1,801 (94)

Remarks on the waterbag model of dispersionless Toda Hierarchy

, 2007
We construct the free energy associated with the waterbag model of dToda.
Bogdanov L V, Boyarsky A, Boyer C P, Calderbank D M J, Chang J H, Dijkgraaf R, Dubrovin B, Dubrovin B, Jones P. E., Konopelchenko B. G., Kostov L, Krichever I., Krichever I., Marshakov A., Martinez Alonso L, Martini R., Mineev-Weinstein M., Pavlov M. V., Pavlov M. V., Riley A, Takasaki K., Takasaki K., Takasaki K., Takebe T, Tsarev S. P., Ward R. S., Wiegmann P., Wiegmann P., Witten E, Yu L.A.   +29 more
core   +1 more source

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
doaj   +1 more source

On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$

, 2010
We discuss bi-Hamiltonian structure for the Bogoyavlensky system on $so(4)$ with an additional integral of fourth order in momenta. An explicit procedure to find the variables of separation and the separation relations is considered in ...
Vershilov, A. V.
core   +1 more source

Tensor fields defined by Lax representations [PDF]

arXiv, 2015
In this paper, some properties of tensor fields constructed by the Lax representation of chiral-type systems are investigated.
arxiv  

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
core   +1 more source

The meromorphic non-integrability of the three-body problem [PDF]

arXiv, 2000
We study the planar three-body problem and prove the absence of a complete set of complex meromorphic first integrals in a neighborhood of the Lagrangian solution. We use the Ziglin's method and study the monodromy group of the corresponding normal variational equations.
arxiv  

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

Quantum Langlands duality and mirror symmetry [PDF]

arXiv, 2001
We show that (quantum) D-modules of Givental type on affine flag varieties are transformed to D-modules of Beilinson-Drinfeld type on $n$-reduced Sato Grassmannians via affine Miura transformation.
arxiv  

On the modular classes of Poisson-Nijenhuis manifolds [PDF]

arXiv, 2006
We prove a property of the Poisson-Nijenhuis manifolds which yields new proofs of the bihamiltonian properties of the hierarchy of modular vector fields defined by Damianou and Fernandes.
arxiv  

Bright and dark solitary wave soliton solutions for the generalized higher order nonlinear Schrödinger equation and its stability

Results in Physics, 2017
The higher order nonlinear Schrödinger (NLS) equation describes ultra-short pluse propagation in optical fibres. By using the amplitude ansatz method, we derive the exact bright, dark and bright-dark solitary wave soliton solutions of the generalized ...
Aly R. Seadawy, Dianchen Lu
doaj