A Single Peaked Solitary Wave Solution of the Modified Camassa-Holm-Kadomtsev-Petviashvili Equation A Single Peaked Solitary Wave Solution of the Modified

The modified Camassa-Holm-Kadomtsev–Petviashvili equation is a two-dimensional extension of the modified Camassa-Holm equation. In this paper, we will demonstrate that the modified Camassa-Holm-Kadomtsev–Petviashvili equation allows for solitary wave solutions with a single peak, both on a line and...

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Bibliographic Details
Published inJournal of mathematical fluid mechanics Vol. 27; no. 3
Main Author Moon, Byungsoo
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 27.06.2025
Subjects
Classical and Continuum Physics
Fluid- and Aerodynamics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Primary: 35Q53
Modified Camassa-Holm-Kadomtsev–Petviashvili equation
Solitary waves
35G25
Online AccessGet full text
ISSN1422-6928
1422-6952
DOI10.1007/s00021-025-00953-z

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Summary:The modified Camassa-Holm-Kadomtsev–Petviashvili equation is a two-dimensional extension of the modified Camassa-Holm equation. In this paper, we will demonstrate that the modified Camassa-Holm-Kadomtsev–Petviashvili equation allows for solitary wave solutions with a single peak, both on a line and on a circle.
ISSN:1422-6928
1422-6952
DOI:10.1007/s00021-025-00953-z