Integrable dispersionless PDEs arising as commutation condition of pairs of vector fields
We review some results about the theory of integrable dispersionless PDEs arising as commutation condition of pairs of one-parameter families of vector fields, developed by the authors during the last years.
Manakov, S. V., Santini, P. M.
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We derive semiclassical asymptotics for the orthogonal polynomials P_n(z) on the line with respect to the exponential weight \exp(-NV(z)), where V(z) is a double-well quartic polynomial, in the limit when n, N \to \infty. We assume that \epsilon \le (n/N)
Bleher, Pavel, Its, Alexander
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V.M. Miklyukov: from dimension 8 to nonassociative algebras
In this short survey we give a background and explain some recent developments in algebraic minimal cones and nonassociative algebras. A good deal of this paper is recollections of my collaboration with my teacher, PhD supervisor and a colleague ...
Tkachev, Vladimir G.
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Integrable nonlinear evolution equations in three spatial dimensions. [PDF]
Fokas AS.
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The Wiener-Hopf technique, its generalizations and applications: constructive and approximate methods. [PDF]
Kisil AV+3 more
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Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater. [PDF]
Ahmad I+4 more
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Fully and semi-automated shape differentiation in NGSolve. [PDF]
Gangl P+3 more
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Compressive Space-Time Galerkin Discretizations of Parabolic Partial Differential Equations [PDF]
We study linear parabolic initial-value problems in a space-time variational formulation based on fractional calculus. This formulation uses "time derivatives of order one half" on the bi-infinite time axis.
Larsson, Stig, Schwab, Christoph
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Whitham equations and phase shifts for the Korteweg-de Vries equation. [PDF]
Ablowitz MJ, Cole JT, Rumanov I.
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Fibrations with constant scalar curvature Kahler metrics and the CM-line bundle
Let X --> B be a holomorphic submersion between compact Kahler manifolds of any dimension, whose fibres and base have no non-zero holomorphic vector fields and whose fibres all admit constant scalar curvature Kahler metrics.
Fine, Joel
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