Results 1 to 10 of about 11,070 (191)

Linear Hamilton Jacobi Bellman Equations in High Dimensions [PDF]

, 2014
The Hamilton Jacobi Bellman Equation (HJB) provides the globally optimal solution to large classes of control problems. Unfortunately, this generality comes at a price, the calculation of such solutions is typically intractible for systems with more than
Burdick, Joel W., Damle, Anil, Horowitz, Matanya B.   +2 more
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Non-commutative NLS-type hierarchies: dressing & solutions [PDF]

, 2019
We consider the generalized matrix non-linear Schrodinger (NLS) hierarchy. By employing the universal Darboux-dressing scheme we derive solutions for the hierarchy of integrable PDEs via solutions of the matrix Gelfand-Levitan-Marchenko equation, and we ...
Doikou, Anastasia, Findlay, Iain, Sklaveniti, Spyridoula   +2 more
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Hyperasymptotic solutions for certain partial differential equations

, 2018
We present the hyperasymptotic expansions for a certain group of solutions of the heat equation. We extend this result to a more general case of linear PDEs with constant coefficients. The generalisation is based on the method of Borel summability, which
AB Olde Daalhuis, AB Olde Daalhuis, AB Olde Daalhuis, AB Olde Daalhuis, AB Olde Daalhuis, FWJ Olver, J Martinet, MV Berry, S Michalik, S Michalik, S Michalik, W Balser   +11 more
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The class of Clifford-Fourier transforms [PDF]

, 2011
Recently, there has been an increasing interest in the study of hypercomplex signals and their Fourier transforms. This paper aims to study such integral transforms from general principles, using 4 different yet equivalent definitions of the classical ...
De Bie, H., De Schepper, N., Sommen, F.
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Dressing method based on homogeneous Fredholm equation: quasilinear PDEs in multidimensions

, 2007
In this paper we develop a dressing method for constructing and solving some classes of matrix quasi-linear Partial Differential Equations (PDEs) in arbitrary dimensions.
A I Zenchuk, Ablowitz M J, Bogdanov L V, Bruschi M, Calogero F, Konopelchenko B, Korteweg D J, P M Santini, Santini P M Zenchuk A I, Tsarev S P, Whitham J B, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zenchuk A, Zenchuk A I, Zenchuk A I, Zenchuk A I   +20 more
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Generating functions of (partially-)massless higher-spin cubic interactions [PDF]

, 2012
Generating functions encoding cubic interactions of (partially-)massless higher-spin fields are provided within the ambient-space formalism. They satisfy a system of higher-order partial differential equations that can be explicitly solved due to their ...
Joung, Euihun, Lopez, Luca, Taronna, Massimo   +2 more
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The Unified Method: I Non-Linearizable Problems on the Half-Line

, 2011
Boundary value problems for integrable nonlinear evolution PDEs formulated on the half-line can be analyzed by the unified method introduced by one of the authors and used extensively in the literature.
A S Fokas, Bikbaev R F, Bona J L, Boutet de Monvel A, Coddington E A, Deconinck B Trogdon T Vasan V, Doschoris M, Fokas A S, Fokas A S, Fokas A S, Fokas A S, Fokas A S, Fokas A S, Fokas A S, Fokas A S Pelloni B, Habibullin I T, Its A R, J Lenells, Lenells J, Lenells J, Lenells J, Lenells J, Pelloni B, Smith D A, Smith D A, Tarasov V O, Vetra S   +26 more
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Partially integrable systems in multidimensions by a variant of the dressing method. 1

, 2006
In this paper we construct nonlinear partial differential equations in more than 3 independent variables, possessing a manifold of analytic solutions with high, but not full, dimensionality. For this reason we call them ``partially integrable''.
A I Zenchuk, Ablowitz M J, Ablowitz M J, Beals R Coifman R R, Bogdanov L V, Calogero F, Drinfeld V G, Konopelchenko B, Manakov S V Santini P M, P M Santini, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zenchuk A   +16 more
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Stokes phenomenon and matched asymptotic expansions [PDF]

, 1995
This paper describes the use of matched asymptotic expansions to illuminate the description of functions exhibiting Stokes phenomenon. In particular the approach highlights the way in which the local structure and the possibility of finding Stokes ...
A. B. Olde Daalhuis, J. R. King, J. R. Ockendon, Olver F. W. J., Olver F. W. J., Olver Frank W. J., Paris R. B., R. H. Tew, S. J. Chapman, Van Dyke Milton   +9 more
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Complex plane representations and stationary states in cubic and quintic resonant systems

, 2019
Weakly nonlinear energy transfer between normal modes of strongly resonant PDEs is captured by the corresponding effective resonant systems. In a previous article, we have constructed a large class of such resonant systems (with specific representatives ...
Biasi, Anxo, Bizon, Piotr, Evnin, Oleg
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