Solitons in (2 + 0) dimensions and their applications in vortex dynamics

K. W. Chow; N. W.M. Ko; Shiu Keung Tang

doi:10.1016/S0169-5983(96)00061-5

Solitons in (2 + 0) dimensions and their applications in vortex dynamics

K. W. Chow
, N. W.M. Ko
, Shiu Keung Tang

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

9 Citations (Scopus)

Abstract

Globally smooth, exact solutions of inviscid, two-dimensional vortex dynamics are derived by exploiting techniques from soliton theory. The Stuart and Mallier-Maslowe vortices are rederived using the Hirota method and a 2-soliton solution. A 3-soliton expansion yields a complex flow pattern. Doubly periodic arrays of vortices are expressed in terms of elliptic and theta functions. The implications and interpretations in the dynamics of shear flows are discussed.

Original language	English
Pages (from-to)	101-114
Number of pages	14
Journal	Fluid Dynamics Research
Volume	21
Issue number	2
DOIs	https://doi.org/10.1016/S0169-5983(96)00061-5
Publication status	Published - 1 Jan 1997

Keywords

Nonlinear waves
Vortex dynamics

ASJC Scopus subject areas

Mechanical Engineering
General Physics and Astronomy
Fluid Flow and Transfer Processes

More information

10.1016/S0169-5983(96)00061-5

Cite this

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abstract = "Globally smooth, exact solutions of inviscid, two-dimensional vortex dynamics are derived by exploiting techniques from soliton theory. The Stuart and Mallier-Maslowe vortices are rederived using the Hirota method and a 2-soliton solution. A 3-soliton expansion yields a complex flow pattern. Doubly periodic arrays of vortices are expressed in terms of elliptic and theta functions. The implications and interpretations in the dynamics of shear flows are discussed.",

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AU - Tang, Shiu Keung

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AB - Globally smooth, exact solutions of inviscid, two-dimensional vortex dynamics are derived by exploiting techniques from soliton theory. The Stuart and Mallier-Maslowe vortices are rederived using the Hirota method and a 2-soliton solution. A 3-soliton expansion yields a complex flow pattern. Doubly periodic arrays of vortices are expressed in terms of elliptic and theta functions. The implications and interpretations in the dynamics of shear flows are discussed.

KW - Nonlinear waves

KW - Vortex dynamics

UR - https://www.scopus.com/pages/publications/0031215055

U2 - 10.1016/S0169-5983(96)00061-5

DO - 10.1016/S0169-5983(96)00061-5

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SP - 101

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JF - Fluid Dynamics Research

IS - 2

ER -

Solitons in (2 + 0) dimensions and their applications in vortex dynamics

Abstract

Keywords

ASJC Scopus subject areas

More information

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