Open AccessSymmetry of the KP-type solitary waves
Author(s) -
Amin Esfahani,
Steve Levandosky
Publication year - 2019
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/14617
Subject(s) - symmetry (geometry) , physics , rotation (mathematics) , type (biology) , rotational symmetry , kadomtsev–petviashvili equation , classical mechanics , transverse plane , mathematical physics , love wave , wave propagation , mathematical analysis , quantum electrodynamics , mathematics , mechanical wave , longitudinal wave , geometry , optics , mechanics , quantum mechanics , geology , characteristic equation , partial differential equation , medicine , paleontology , anatomy
In this paper, we study the behavior of the solitary waves of the rotation-modified Kadomtsev-Petviashvili equation. By knowing the symmetry of solitary waves in the transverse direction, we improve the previous results and show that these solutions are also symmetric with respect to the direction of propagation.