Pfaffian, soliton, breather and hybrid solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics

Fei Yan Liu; Yi Tian Gao; Xin Yu

doi:10.1007/s11071-022-08111-0

Pfaffian, soliton, breather and hybrid solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics

Fei Yan Liu
, Yi Tian Gao^*
, Xin Yu^*

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Beihang University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper, we study a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics. The Nth-order Pfaffian solutions are constructed and proved via the modified Pfaffian technique, where N is a positive integer. Soliton, breather and hybrid solutions are worked out based on the Nth-order Pfaffian solutions. Interaction between the two solitons is classified into the elastic interaction, inelastic interaction and soliton resonance via the asymptotic analysis. For the two solitons, elastic interactions, inelastic interactions and soliton resonances are discussed graphically. Breather, lump and hybrid solutions composed of the breathers, lumps and solitons are illustrated graphically.

Original language	English
Pages (from-to)	5681-5692
Number of pages	12
Journal	Nonlinear Dynamics
Volume	111
Issue number	6
DOIs	https://doi.org/10.1007/s11071-022-08111-0
State	Published - Mar 2023

Keywords

Asymptotic analysis
Interaction
Lump
Pfaffian technique

Access to Document

10.1007/s11071-022-08111-0

Cite this

@article{b34ccb653ae346cab38b0a4e86227d6a,

title = "Pfaffian, soliton, breather and hybrid solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics",

abstract = "In this paper, we study a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics. The Nth-order Pfaffian solutions are constructed and proved via the modified Pfaffian technique, where N is a positive integer. Soliton, breather and hybrid solutions are worked out based on the Nth-order Pfaffian solutions. Interaction between the two solitons is classified into the elastic interaction, inelastic interaction and soliton resonance via the asymptotic analysis. For the two solitons, elastic interactions, inelastic interactions and soliton resonances are discussed graphically. Breather, lump and hybrid solutions composed of the breathers, lumps and solitons are illustrated graphically.",

keywords = "Asymptotic analysis, Interaction, Lump, Pfaffian technique",

author = "Liu, \{Fei Yan\} and Gao, \{Yi Tian\} and Xin Yu",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature B.V.",

year = "2023",

month = mar,

doi = "10.1007/s11071-022-08111-0",

language = "英语",

volume = "111",

pages = "5681--5692",

journal = "Nonlinear Dynamics",

issn = "0924-090X",

publisher = "Springer Netherlands",

number = "6",

}

TY - JOUR

T1 - Pfaffian, soliton, breather and hybrid solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics

AU - Liu, Fei Yan

AU - Gao, Yi Tian

AU - Yu, Xin

PY - 2023/3

Y1 - 2023/3

N2 - In this paper, we study a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics. The Nth-order Pfaffian solutions are constructed and proved via the modified Pfaffian technique, where N is a positive integer. Soliton, breather and hybrid solutions are worked out based on the Nth-order Pfaffian solutions. Interaction between the two solitons is classified into the elastic interaction, inelastic interaction and soliton resonance via the asymptotic analysis. For the two solitons, elastic interactions, inelastic interactions and soliton resonances are discussed graphically. Breather, lump and hybrid solutions composed of the breathers, lumps and solitons are illustrated graphically.

AB - In this paper, we study a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics. The Nth-order Pfaffian solutions are constructed and proved via the modified Pfaffian technique, where N is a positive integer. Soliton, breather and hybrid solutions are worked out based on the Nth-order Pfaffian solutions. Interaction between the two solitons is classified into the elastic interaction, inelastic interaction and soliton resonance via the asymptotic analysis. For the two solitons, elastic interactions, inelastic interactions and soliton resonances are discussed graphically. Breather, lump and hybrid solutions composed of the breathers, lumps and solitons are illustrated graphically.

KW - Asymptotic analysis

KW - Interaction

KW - Lump

KW - Pfaffian technique

UR - https://www.scopus.com/pages/publications/85145505185

U2 - 10.1007/s11071-022-08111-0

DO - 10.1007/s11071-022-08111-0

M3 - 文章

AN - SCOPUS:85145505185

SN - 0924-090X

VL - 111

SP - 5681

EP - 5692

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 6

ER -

Pfaffian, soliton, breather and hybrid solutions for a (2+1)-dimensional combined potential Kadomtsev-Petviashvili-B-type Kadomtsev-Petviashvili equation in fluid mechanics

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this