A diversity of localized structures in a (2 + 1)-dimensional KdV equation

Yan ze Peng; Hui Feng; E. V. Krishnan

doi:10.1016/j.apm.2008.03.015

A diversity of localized structures in a (2 + 1)-dimensional KdV equation

Yan ze Peng, Hui Feng, E. V. Krishnan

Mathematics & Statistics

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

The singular manifold method is used to solve a (2 + 1)-dimensional KdV equation. An exact solution containing two arbitrary functions is then obtained. A diversity of localized structures, such as generalized dromions and solitoffs, is exposed by making full use of these arbitrary functions. These localized structures are illustrated by graphs.

Original language	English
Pages (from-to)	1842-1849
Number of pages	8
Journal	Applied Mathematical Modelling
Volume	33
Issue number	4
DOIs	https://doi.org/10.1016/j.apm.2008.03.015
Publication status	Published - Apr 2009

Fingerprint

Keywords

(2 + 1)-dimensional KdV equation
Localized structures
The singular manifold method

ASJC Scopus subject areas

Applied Mathematics
Modelling and Simulation

Cite this

Peng, Y. Z., Feng, H., & Krishnan, E. V. (2009). A diversity of localized structures in a (2 + 1)-dimensional KdV equation. Applied Mathematical Modelling, 33(4), 1842-1849. https://doi.org/10.1016/j.apm.2008.03.015

@article{39b6ef8d383d483884e86ec280bacd3a,

title = "A diversity of localized structures in a (2 + 1)-dimensional KdV equation",

abstract = "The singular manifold method is used to solve a (2 + 1)-dimensional KdV equation. An exact solution containing two arbitrary functions is then obtained. A diversity of localized structures, such as generalized dromions and solitoffs, is exposed by making full use of these arbitrary functions. These localized structures are illustrated by graphs.",

keywords = "(2 + 1)-dimensional KdV equation, Localized structures, The singular manifold method",

author = "Peng, {Yan ze} and Hui Feng and Krishnan, {E. V.}",

year = "2009",

month = apr

doi = "10.1016/j.apm.2008.03.015",

language = "English",

volume = "33",

pages = "1842--1849",

journal = "Applied Mathematical Modelling",

issn = "0307-904X",

publisher = "Elsevier Inc.",

number = "4",

}

TY - JOUR

T1 - A diversity of localized structures in a (2 + 1)-dimensional KdV equation

AU - Peng, Yan ze

AU - Feng, Hui

AU - Krishnan, E. V.

PY - 2009/4

Y1 - 2009/4

N2 - The singular manifold method is used to solve a (2 + 1)-dimensional KdV equation. An exact solution containing two arbitrary functions is then obtained. A diversity of localized structures, such as generalized dromions and solitoffs, is exposed by making full use of these arbitrary functions. These localized structures are illustrated by graphs.

AB - The singular manifold method is used to solve a (2 + 1)-dimensional KdV equation. An exact solution containing two arbitrary functions is then obtained. A diversity of localized structures, such as generalized dromions and solitoffs, is exposed by making full use of these arbitrary functions. These localized structures are illustrated by graphs.

KW - (2 + 1)-dimensional KdV equation

KW - Localized structures

KW - The singular manifold method

UR - http://www.scopus.com/inward/record.url?scp=57649083154&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=57649083154&partnerID=8YFLogxK

U2 - 10.1016/j.apm.2008.03.015

DO - 10.1016/j.apm.2008.03.015

M3 - Article

AN - SCOPUS:57649083154

VL - 33

SP - 1842

EP - 1849

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

SN - 0307-904X

IS - 4

ER -

Access to Document

10.1016/j.apm.2008.03.015