On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation.
Chaos
; 23(1): 013126, 2013 Mar.
Article
em En
| MEDLINE
| ID: mdl-23556963
ABSTRACT
There exist two versions of the Kadomtsev-Petviashvili (KP) equation, related to the Cartesian and cylindrical geometries of the waves. In this paper, we derive and study a new version, related to the elliptic cylindrical geometry. The derivation is given in the context of surface waves, but the derived equation is a universal integrable model applicable to generic weakly nonlinear weakly dispersive waves. We also show that there exist nontrivial transformations between all three versions of the KP equation associated with the physical problem formulation, and use them to obtain new classes of approximate solutions for water waves.
Texto completo:
1
Base de dados:
MEDLINE
Assunto principal:
Movimentos da Água
/
Água
/
Dinâmica não Linear
Tipo de estudo:
Prognostic_studies
Idioma:
En
Revista:
Chaos
Assunto da revista:
CIENCIA
Ano de publicação:
2013
Tipo de documento:
Article
País de afiliação:
Reino Unido