Premium
The Rotation‐Modified Kadomtsev‐Petviashvili Equation: An Analytical and Numerical Study
Author(s) -
Grimshaw R.,
Tang S.
Publication year - 1990
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1990833223
Subject(s) - rotation (mathematics) , kadomtsev–petviashvili equation , wavefront , mathematics , transverse plane , physics , classical mechanics , mathematical analysis , mechanics , geometry , optics , partial differential equation , characteristic equation , structural engineering , engineering
The rotation‐modified Kadomtsev‐Petviashvili equation, derived by Grimshaw in 1985, is studied both analytically and numerically to determine the structure of solutions which are initially localized. It is shown that solitary‐like waves can be found, whose wavefronts are curved in a direction transverse to the propagation direction, which remain unsteady, and which are always accompanied by trailing Poincaré waves. These effects are more noticeable as the effects of rotation are increased.