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

被引：0
作者：
Moon, Byungsoo [1 ]
Yang, Chao [2 ]
机构：
[1] Incheon Natl Univ, Dept Math, Incheon 22012, South Korea
[2] Harbin Engn Univ, Coll Math Sci, Harbin 150001, Peoples R China
来源：
ADVANCES IN NONLINEAR ANALYSIS | 2024年 / 13卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
solitary waves; shock waves; Degasperis-Procesi-Kadomtsev-Petviashvili equation; Degasperis-Procesi equation; SHALLOW-WATER EQUATION; STABILITY; TRAJECTORIES; PEAKONS;
D O I：
10.1515/anona-2024-0040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：16
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