Painlevé Integrability and Abundant Localized Structures of (2+1)-dimensional Higher Order Broer-Kaup System-Reference-Cited by-同舟云学术

Painlevé Integrability and Abundant Localized Structures of (2+1)-dimensional Higher Order Broer-Kaup System

Published:2002-12-01 Issue:12 Volume:57 Page:929-936
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:
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Author:

Lin Ji¹²,Li Hua-mei²

Affiliation:

1. 1Physics Department, Shanghai Jiao Tong University, Shanghai, 200030, China

2. 2Department of Physics, Zhejiang Normal University, Jinhua 321004, China

Abstract

It is proven that the (2+1) dimensional higher-order Broer-Kaup system the possesses the Painlevé property, using the Weiss-Tabor-Carnevale method and Kruskal’s simplification. Abundant localized coherent structures are obtained by using the standard truncated Painlevé expansion and the variable separation method. Fractal dromion solutions and multi-peakon structures are discussed. The interactions of three peakons are investigated. The interactions among the peakons are not elastic; they interchange their shapes but there is no phase shift

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2002-1204/pdf

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