Results 11 to 20 of about 11,005 (190)

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
core   +2 more sources

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
core   +3 more sources

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.
core   +3 more sources

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
core   +1 more source

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
core   +1 more source

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
core   +1 more source

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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Portopulmonary hypertension practice patterns after liver transplantation

Liver Transplantation, EarlyView., 2022
Abstract Portopulmonary hypertension (POPH) is a type of pulmonary arterial hypertension occurring exclusively in those with portal hypertensive liver disease. Liver transplantation (LT) can significantly improve outcomes. Current guidelines counsel against immediate adjustments to targeted therapy after LT and suggest routine echocardiography as ...
Arun Jose, Elizabeth J. Kopras, Shimul A. Shah, Jean M. Elwing   +3 more
wiley   +1 more source

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
core   +1 more source

Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains

, 2019
Many PDEs involving fractional Laplacian are naturally set in unbounded domains with underlying solutions decay very slowly, subject to certain power laws. Their numerical solutions are under-explored.
Tang, Tao, Wang, Li-Lian, Yuan, Huifang, Zhou, Tao   +3 more
core   +1 more source