Peaked solitary waves and shock waves of the Degasperis-Procesi-Kadomtsev-Petviashvili equation

Autor: Moon Byungsoo, Yang Chao
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 47-78 (2024)
Druh dokumentu: article
ISSN: 2191-950X
DOI: 10.1515/anona-2024-0040
Popis: In this study, we establish the existence and nonexistence of smooth and peaked solitary wave solutions (or periodic) to the Degasperis-Procesi-Kadomtsev-Petviashvili (DP-KP) equation with a weak transverse effect. We have also shown that DP-KP equation possesses periodic shock waves similar to that of the Degasperis-Procesi equation.
Databáze: Directory of Open Access Journals