Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation

H. H. Dai; E. G. Fan

doi:10.1016/j.chaos.2003.12.059

Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation

H. H. Dai
, E. G. Fan

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

58 Citations (Scopus)

Abstract

The Gerdjikov-Ivanov equation is decomposed into two systems of solvable ordinary differential equations. A hyperelliptic Riemann surface and Abel-Jacobi coordinates are introduced to straighten the associated flow, from which the algebro-geometric solutions of the Gerdjikov-Ivanov equation are constructed in terms of the Riemann theta functions. © 2004 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	93-101
Journal	Chaos, Solitons and Fractals
Volume	22
Issue number	1
DOIs	https://doi.org/10.1016/j.chaos.2003.12.059
Publication status	Published - Oct 2004

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title = "Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation",

abstract = "The Gerdjikov-Ivanov equation is decomposed into two systems of solvable ordinary differential equations. A hyperelliptic Riemann surface and Abel-Jacobi coordinates are introduced to straighten the associated flow, from which the algebro-geometric solutions of the Gerdjikov-Ivanov equation are constructed in terms of the Riemann theta functions. {\textcopyright} 2004 Elsevier Ltd. All rights reserved.",

author = "Dai, \{H. H.\} and Fan, \{E. G.\}",

year = "2004",

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AU - Fan, E. G.

PY - 2004/10

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N2 - The Gerdjikov-Ivanov equation is decomposed into two systems of solvable ordinary differential equations. A hyperelliptic Riemann surface and Abel-Jacobi coordinates are introduced to straighten the associated flow, from which the algebro-geometric solutions of the Gerdjikov-Ivanov equation are constructed in terms of the Riemann theta functions. © 2004 Elsevier Ltd. All rights reserved.

AB - The Gerdjikov-Ivanov equation is decomposed into two systems of solvable ordinary differential equations. A hyperelliptic Riemann surface and Abel-Jacobi coordinates are introduced to straighten the associated flow, from which the algebro-geometric solutions of the Gerdjikov-Ivanov equation are constructed in terms of the Riemann theta functions. © 2004 Elsevier Ltd. All rights reserved.

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U2 - 10.1016/j.chaos.2003.12.059

DO - 10.1016/j.chaos.2003.12.059

M3 - RGC 21 - Publication in refereed journal

SN - 0960-0779

VL - 22

SP - 93

EP - 101

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 1

ER -

Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation

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