On the korteweg-de vries equation
WebIn mathematics, the Korteweg–De Vries (KdV) equation is a mathematical model of waves on shallow water surfaces. It is particularly notable as the prototypical example of an … WebAbstract The time-fractional coupled Korteweg–de Vries equations (TFCKdVEs) describe various interesting real-world phenomena including wave propagation and the description of shallow water waves o...
On the korteweg-de vries equation
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http://icacm.iam.metu.edu.tr/research/msc-theses/numerical-studies-of-korteweg-de-vries-equation-with-random-input-data WebAbstract. We review the different aspects of integrable discretizations in space and time of the Korteweg-de Vries equation, including Miura transformations to related integrable …
WebA note on the quartic generalized Korteweg-de Vries equation in weighted Sobolev spaces . × Close Log In. Log in with Facebook Log in with Google. or. Email. Password. Remember me on this computer. or reset password. Enter the email address you signed up with and we'll email you a reset ... Web25 de jan. de 2016 · [BSZ1] Bona J L, Sun S M and Zhang B-Y 2002 A non-homogeneous boundary-value problem for the Korteweg–de Vries equation in a quarter plane Trans. Am. Math. Soc. 354 427–90. Crossref Google Scholar [BSZ2] Bona J L, Sun S M and Zhang B-Y 2006 Boundary smoothing properties of the Korteweg–de Vries equation in a quarter …
Web25 de jan. de 2024 · The modified Korteweg–de Vries equation or mKdV-equation is $$ \frac {\partial v } {\partial t } - 6v ^ {2} \frac {\partial v } {\partial x } + \frac {\partial ^ {3} v } {\partial x ^ {3} } = 0 . $$ It can also be integrated by means of the IST-method, this time using a two-dimensional "L operator" . Webgroup of the Korteweg–de Vries (KdV) equation. This problem was already con-sidered in [5,17] and in [6] within the framework of the moving frame and infinites-imal approaches, respectively. Thus, on one hand it is instructive to compare and review the results available in the literature. On the other hand, we extend these
Web31 de out. de 2012 · We discuss universality in random matrix theory and in the study of Hamiltonian partial differential equations. We focus on universality of critical behavior and we compare results in unitary random matrix ensembles with their counterparts for the Korteweg-de Vries equation, emphasizing the similarities between both subjects.
Web1 de jul. de 2024 · Soliton solutions to the fifth-order Korteweg-de Vries equation and their applications to surface and internal water waves. Phys Fluids, 30 (2024), Article 022104. View in Scopus Google Scholar [17] M. Almazmumy, F.A. Hendi, H.O. Bakoah, H. Alzumi. how a rise in blood pco2 stimulates breathingWeb27 de mar. de 2009 · In this paper, we proceed along our analysis of the Korteweg-de Vries approximation of the Gross-Pitaevskii equation initiated in a previous paper. At the long … how a bee fliesWebAn alternative way for the derivation of the new Korteweg-de Vries (KdV)-type equation is presented. The equation contains terms depending on the bottom topography (there are six new terms in all, three of which are caused by the unevenness of the bottom). It is obtained in the second-order perturba … how a metal nesting cup works on a campfireWeb10 de out. de 2024 · We consider in this paper modified fractional Korteweg-de Vries and related equations (modified Burgers-Hilbert and Whitham). They have the advantage with respect to the usual fractional KdV equation to have a … how a pressurized water reactor worksWeb25 de jan. de 2024 · We consider in this paper modified fractional Korteweg–de Vries and related equations (modified Burgers–Hilbert and Whitham). They have the advantage … how a realist built a kingdomWebKorteweg–de Vries (KdV) equation The Korteweg–de Vries (KdV) equation is a nonlinear, dispersive partial differential equation for a function of two real variables, space x and … how a family is made variety showWeb12 de abr. de 2024 · We consider the possibility of constructing a hierarchy of the complex extension of the Korteweg–de Vries equation (cKdV), which under the assumption that the function is real passes into the KdV hierarchy. A hierarchy is understood here as a family of nonlinear partial differential equations with a Lax pair with a common scattering operator. how a printer is made