The Korteweg-de Vries hierarchy and long water-waves


Autoria(s): Kraenkel, Roberto André; Manna, M. A.; Pereira, J. G.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

27/05/2014

27/05/2014

01/12/1995

Resumo

By using the multiple scale method with the simultaneous introduction of multiple times, we study the propagation of long surface-waves in a shallow inviscid fluid. As a consequence of the requirements of scale invariance and absence of secular terms in each order of the perturbative expansion, we show that the Korteweg-de Vries hierarchy equations do play a role in the description of such waves. Finally, we show that this procedure of eliminating secularities is closely related to the renormalization technique introduced by Kodama and Taniuti. © 1995 American Institute of Physics.

Formato

307-320

Identificador

http://dx.doi.org/10.1063/1.531294

Journal of Mathematical Physics, v. 36, n. 1, p. 307-320, 1995.

0022-2488

http://hdl.handle.net/11449/64670

10.1063/1.531294

WOS:A1995QA69400019

2-s2.0-21844521262

2-s2.0-21844521262.pdf

Idioma(s)

eng

Relação

Journal of Mathematical Physics

Direitos

closedAccess

Tipo

info:eu-repo/semantics/article