Results 1 to 10 of about 29,917 (203)

On the central quadric ansatz: integrable models and Painleve reductions [PDF]

, 2012
It was observed by Tod and later by Dunajski and Tod that the Boyer-Finley (BF) and the dispersionless Kadomtsev-Petviashvili (dKP) equations possess solutions whose level surfaces are central quadrics in the space of independent variables (the so-called
A Zhang, B Huard, Calderbank D M J, Dryuma V, Dunajski M, E V Ferapontov, Ferapontov E V, Grundland A M, Huard B, Pavlov M V, Tod K P, Tsarev S P   +11 more
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On a class of three-dimensional integrable Lagrangians [PDF]

, 2004
We characterize non-degenerate Lagrangians of the form $ \int f(u_x, u_y, u_t) dx dy dt $ such that the corresponding Euler-Lagrange equations $ (f_{u_x})_x+ (f_{u_y})_y+ (f_{u_t})_t=0 $ are integrable by the method of hydrodynamic reductions.
Ferapontov, E. V., Khusnutdinova, K. R., Tsarev, S. P.   +2 more
core   +3 more sources

T-Duality via Gerby Geometry and Reductions [PDF]

, 2015
We consider topological T-duality of torus bundles equipped with S^{1}-gerbes. We show how a geometry on the gerbe determines a reduction of its band to the subsheaf of S^{1}-valued functions which are constant along the torus fibres.
Bunke, Ulrich, Nikolaus, Thomas
core   +1 more source

Dispersionless integrable systems in 3D and Einstein-Weyl geometry [PDF]

, 2013
For several classes of second order dispersionless PDEs, we show that the symbols of their formal linearizations define conformal structures which must be Einstein-Weyl in 3D (or self-dual in 4D) if and only if the PDE is integrable by the method of ...
Ferapontov, Eugene, Kruglikov, Boris
core   +2 more sources

Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor [PDF]

, 2007
The integrability of an m-component system of hydrodynamic type, u_t=V(u)u_x, by the generalized hodograph method requires the diagonalizability of the mxm matrix V(u).
D. G. Marshall, E. V. Ferapontov, Leicestershire Le Tu   +2 more
core   +3 more sources

Flux moduli stabilisation, Supergravity algebras and no-go theorems [PDF]

, 2010
We perform a complete classification of the flux-induced 12d algebras compatible with the set of N=1 type II orientifold models that are T-duality invariant, and allowed by the symmetries of the T^6/(Z_2 x Z_2) isotropic orbifold.
A Dabholkar, A Font, A Guarino, A Micu, Adolfo Guarino, B Wecht, Beatriz de Carlos, C Albertsson, C Caviezel, C Caviezel, CM Hull, CM Hull, CM Hull, CM Hull, D Roest, E Palti, E Silverstein, G Aldazabal, G Aldazabal, G Aldazabal, G Dall’Agata, G Dall’Agata, G Dall’Agata, G Villadoro, H Samtleben, J Scherk, J Scherk, J Schon, J Shelton, J Shelton, J-P Derendinger, Jesús M. Moreno, JP Derendinger, L Castellani, M Graña, M Graña, M Montigny de, MP Hertzberg, N Kaloper, P Manousselis, PG Camara, R Flauger, RA Reid-Edwards, S Kachru, SS Haque, UH Danielsson   +45 more
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On the integrability of symplectic Monge-Amp\'ere equations

, 2010
Let u be a function of n independent variables x^1, ..., x^n, and U=(u_{ij}) the Hessian matrix of u. The symplectic Monge-Ampere equation is defined as a linear relation among all possible minors of U.
Atiyah, B. Doubrov, Ball, Banos, Bogdanov, Bogdanov, Boillat, Calabi, Dunajski, Dunajski, E.V. Ferapontov, Ferapontov, Ferapontov, Ferapontov, Ferapontov, Grant, Husain, Joyce, Katanova, Kushner, Landsberg, Landsberg, Lychagin, Manakov, Mokhov, Neyzi, Plebański, Plebański, Sheftel, Strachan, Takasaki, Takasaki, Tsarev, Tsarev   +33 more
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Monodromy Transform Approach to Solution of Some Field Equations in General Relativity and String Theory [PDF]

, 2000
A monodromy transform approach, presented in this communication, provides a general base for solution of space-time symmetry reductions of Einstein equations in all known integrable cases, which include vacuum, electrovacuum, massless Weyl spinor field ...
Alekseev, G. A.
core   +4 more sources

Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski-West Construction [PDF]

, 2014
I present a construction of real or complex selfdual conformal 4-manifolds (of signature (2,2) in the real case) from a natural gauge field equation on a real or complex projective surface, the gauge group being the group of diffeomorphisms of a real or ...
Calderbank, David M. J.
core   +5 more sources

Classification and reduction to canonical form of linear differential equations partial of the sixth-order with non-multiple characteristics

Bulletin of the Karaganda University-Mathematics
This paper studies the problems of classification and reduction to canonical form of linear partial differential equations of the sixth-order with non-multiple characteristics and constant coefficients. Considering that with the growth of the order of the equation or the increase in the number of independent variables, the problems of classification ...
A.T. Abdukodirov, T.A. Tulkinboev
openaire   +1 more source