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

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Localized Structures

KdV Equation

Arbitrary

Exact Solution

Graph in graph theory

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

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

Peng, YZ, Feng, H & Krishnan, EV 2009, 'A diversity of localized structures in a (2 + 1)-dimensional KdV equation', Applied Mathematical Modelling, vol. 33, no. 4, pp. 1842-1849. https://doi.org/10.1016/j.apm.2008.03.015

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

Peng, Yan ze ; Feng, Hui ; Krishnan, E. V. / A diversity of localized structures in a (2 + 1)-dimensional KdV equation. In: Applied Mathematical Modelling. 2009 ; Vol. 33, No. 4. pp. 1842-1849.

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Access to Document

10.1016/j.apm.2008.03.015