Results 1 to 10 of about 10,282 (95)

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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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 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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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 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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The Parametric Solution of Underdetermined linear ODEs [PDF]

, 2011
The purpose of this paper is twofold. An immediate practical use of the presented algorithm is its applicability to the parametric solution of underdetermined linear ordinary differential equations (ODEs) with coefficients that are arbitrary analytic ...
Wolf, Thomas
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On the relationship between nonlinear equations integrable by the method of characteristics and equations associated with commuting vector fields

, 2009
It was shown recently that Frobenius reduction of the matrix fields reveals interesting relations among the nonlinear Partial Differential Equations (PDEs) integrable by the Inverse Spectral Transform Method ($S$-integrable PDEs), linearizable by the ...
A. I. Zenchuk, Kadomtsev B. B., Manakov S. V., Whitham J. B., Zakharov V. E., Zakharov V. E., Zakharov V. E.   +6 more
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Geometry of jet spaces and integrable systems [PDF]

, 2011
An overview of some recent results on the geometry of partial differential equations in application to integrable systems is given. Lagrangian and Hamiltonian formalism both in the free case (on the space of infinite jets) and with constraints (on a PDE)
Ablowitz, Alexander Verbovetsky, Anderson, Astashov, Astashov, Barakat, Baran, Barnich, Belinskii, Bluman, Bluman, Bocharov, Bryant, Bryant, Bäcklund, Camassa, Cartan, Chetverikov, Chetverikov, Cieśliński, Cieśliński, Courant, Darboux, De Sole, Dickey, Dodd, Dodd, Dorfman, Drinfel’d, Dubrovin, Dubrovin, Dudnikov, Faddeev, Filippov, Gardner, Gardner, Gardner, Gel’fand, Getzler, Goldschmidt, Golovko, Golovko, Gomis, Harrison, Henneaux, Henneaux, Hirota, Ibragimov, Igonin, Janet, Joseph Krasil’shchik, Karasu-Kalkanlı, Kaup, Kersten, Kersten, Kersten, Kersten, Kersten, Kersten, Khor’kova, Krasil’shchik, Krasil’shchik, Krasil’shchik, Krasil’shchik, Kruglikov, Kruskal, Kupershmidt, Kupershmidt, Kushner, Lewis, Lie, Lie, Lie, Magri, Magri, Maison, Maison, Manin, Marvan, Marvan, Marvan, Marvan, Mikhailov, Miura, Miura, Morse, Novikov, Odesskii, Olver, Olver, Ovsiannikov, Pommaret, Popovych, Riquier, Rogers, Rogers, Saunders, Saunders, Seiler, Sergyeyev, Spencer, Stephani, Su, Svinolupov, Takens, Tsarev, Tsujishita, Tsujishita, Tulczyjew, Verbovetsky, Verbovetsky, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vitolo, Wahlquist, Wahlquist, Zakharov   +122 more
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Magnetic hydrodynamics with asymmetric stress tensor

, 2004
In this paper we study equations of magnetic hydrodynamics with a stress tensor. We interpret this system as the generalized Euler equation associated with an abelian extension of the Lie algebra of vector fields with a non-trivial 2-cocycle.
Adams R. A., Arnold V. I., Batchelor G. K., Fuks D. B., Gelfand I. M., Kadomtsev B. B., Moreau R., Ovsienko V. Yu., Priest E. R., Rosensweig R. E., Višik S. M., Yuly Billig   +11 more
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