Fractal dromion, fractal lump, and multiple peakon excitations in a new (2 + 1)-dimensional long dispersive wave system

Chun Long Zheng; Jia Min Zhu; Jie Fang Zhang; Li Qun Chen

Fractal dromion, fractal lump, and multiple peakon excitations in a new (2 + 1)-dimensional long dispersive wave system

Chun Long Zheng^*
, Jia Min Zhu
, Jie Fang Zhang
, Li Qun Chen

^*Corresponding author for this work

Lishui University
Shanghai University
Zhejiang Normal University
Zhejiang University

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

40 Scopus citations

Abstract

By means of variable separation approach, quite a general excitation of the new (2 + 1)-dimensional long dispersive wave system: λq_t + q_xx - 2q ∫(qr)_xdy = 0, λr_t - r_xx + 2r ∫(qr)_x dy = 0, is derived. Some types of the usual localized excitations such as dromions, lumps, rings, and oscillating soliton excitations can be easily constructed by selecting the arbitrary functions appropriately. Besides these usual localized structures, some new localized excitations like fractal-dromion, fractal-lump, and multi-peakon excitations of this new system are found by selecting appropriate functions.

Original language	English
Pages (from-to)	261-266
Number of pages	6
Journal	Communications in Theoretical Physics
Volume	39
Issue number	3
State	Published - 15 Mar 2003
Externally published	Yes

Keywords

Fractal localized structure
New (2 + 1)-dimensional long dispersive wave system
Peakon excitation
Variable separation approach

Cite this

@article{75b5d8022ccf47e2aef8a45653e6ae1d,

title = "Fractal dromion, fractal lump, and multiple peakon excitations in a new (2 + 1)-dimensional long dispersive wave system",

abstract = "By means of variable separation approach, quite a general excitation of the new (2 + 1)-dimensional long dispersive wave system: λqt + qxx - 2q ∫(qr)xdy = 0, λrt - rxx + 2r ∫(qr)x dy = 0, is derived. Some types of the usual localized excitations such as dromions, lumps, rings, and oscillating soliton excitations can be easily constructed by selecting the arbitrary functions appropriately. Besides these usual localized structures, some new localized excitations like fractal-dromion, fractal-lump, and multi-peakon excitations of this new system are found by selecting appropriate functions.",

keywords = "Fractal localized structure, New (2 + 1)-dimensional long dispersive wave system, Peakon excitation, Variable separation approach",

author = "Zheng, \{Chun Long\} and Zhu, \{Jia Min\} and Zhang, \{Jie Fang\} and Chen, \{Li Qun\}",

year = "2003",

month = mar,

day = "15",

language = "英语",

volume = "39",

pages = "261--266",

journal = "Communications in Theoretical Physics",

issn = "0253-6102",

publisher = "Institute of Physics",

number = "3",

}

TY - JOUR

T1 - Fractal dromion, fractal lump, and multiple peakon excitations in a new (2 + 1)-dimensional long dispersive wave system

AU - Zheng, Chun Long

AU - Zhu, Jia Min

AU - Zhang, Jie Fang

AU - Chen, Li Qun

PY - 2003/3/15

Y1 - 2003/3/15

N2 - By means of variable separation approach, quite a general excitation of the new (2 + 1)-dimensional long dispersive wave system: λqt + qxx - 2q ∫(qr)xdy = 0, λrt - rxx + 2r ∫(qr)x dy = 0, is derived. Some types of the usual localized excitations such as dromions, lumps, rings, and oscillating soliton excitations can be easily constructed by selecting the arbitrary functions appropriately. Besides these usual localized structures, some new localized excitations like fractal-dromion, fractal-lump, and multi-peakon excitations of this new system are found by selecting appropriate functions.

AB - By means of variable separation approach, quite a general excitation of the new (2 + 1)-dimensional long dispersive wave system: λqt + qxx - 2q ∫(qr)xdy = 0, λrt - rxx + 2r ∫(qr)x dy = 0, is derived. Some types of the usual localized excitations such as dromions, lumps, rings, and oscillating soliton excitations can be easily constructed by selecting the arbitrary functions appropriately. Besides these usual localized structures, some new localized excitations like fractal-dromion, fractal-lump, and multi-peakon excitations of this new system are found by selecting appropriate functions.

KW - Fractal localized structure

KW - New (2 + 1)-dimensional long dispersive wave system

KW - Peakon excitation

KW - Variable separation approach

UR - https://www.scopus.com/pages/publications/0037445237

M3 - 文章

AN - SCOPUS:0037445237

SN - 0253-6102

VL - 39

SP - 261

EP - 266

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 3

ER -

Fractal dromion, fractal lump, and multiple peakon excitations in a new (2 + 1)-dimensional long dispersive wave system

Abstract

Keywords

Other files and links

Fingerprint

Cite this