High Dimensional Schwartz KP Equations
نویسنده
چکیده
für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namensnennung 4.0 Lizenz. High Dimensional Schwartz KP Equations
منابع مشابه
First Report on the Percentiles of the Glomerular Filtration Rate in Iranian Children Using the 2009 Schwartz Equations
The glomerular filtration rate (GFR) is widely considered the best overall index of renal function. The Schwartz equations are designed for measuring the GFR in children between 1 and 16 years of age. In the present study, we investigated the percentiles of the GFR in a general population of Iranian children with no known renal disease via the 2009 Schwartz equations (updated and combined equat...
متن کاملComment on the 3+1 dimensional Kadomtsev–Petviashvili equations
We comment on traveling wave solutions and rational solutions to the 3+1 dimensional Kadomtsev–Petviashvili (KP) equations: (ut + 6uux + uxxx)x ± 3uyy ± 3uzz = 0. We also show that both of the 3+1 dimensional KP equations do not possess the three-soliton solution. This suggests that none of the 3+1 dimensional KP equations should be integrable, and partially explains why they do not pass the Pa...
متن کاملSolving the (3 + 1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
The multiple exp-function algorithm, as a generalization of Hirota’s perturbation scheme, is used to construct multiple wave solutions to the (3+1)dimensional generalized KP and BKP equations. The resulting solutions involve generic phase shifts and wave frequencies containing many existing choices. It is also pointed out that the presented phase shifts for the two considered equations are all ...
متن کاملGrassmannians, Nonlinear Wave Equations and Generalized Schur Functions
The solution space of the KP hierarchy of nonlinear evolution equations is known to have the geometric structure of an infinite dimensional Grassmannian manifold. This paper demonstrates this fact in an elementary way. Specifically, it is explained how one may use the recently introduced N-Schur functions to “translate” the nonlinear differential equations into the algebraic Plücker relations f...
متن کاملBilinear Space-time Estimates for Linearised Kp-type Equations on the Three-dimensional Torus with Applications
A bilinear estimate in terms of Bourgain spaces associated with a linearised Kadomtsev-Petviashvili-type equation on the three-dimensional torus is shown. As a consequence, time localized linear and bilinear space time estimates for this equation are obtained. Applications to the local and global well-posedness of dispersion generalised KP-II equations are discussed. Especially it is proved tha...
متن کامل