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 | |
| Publication status | Published - Apr 2009 |
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Keywords
- (2 + 1)-dimensional KdV equation
- Localized structures
- The singular manifold method
ASJC Scopus subject areas
- Applied Mathematics
- Modelling and Simulation
Cite this
A diversity of localized structures in a (2 + 1)-dimensional KdV equation. / Peng, Yan ze; Feng, Hui; Krishnan, E. V.
In: Applied Mathematical Modelling, Vol. 33, No. 4, 04.2009, p. 1842-1849.Research output: Contribution to journal › Article
}
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 -