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:
Short-container-title:

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

Cited by 28 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Painlevé analysis and new class of novel solutions for (2+1)-dimensional 3-component coupled nonlinear Maccari’s system;Nonlinear Dynamics;2023-08-11

2. Painlevé analysis, bilinear form, Bäcklund transformation, solitons, periodic waves and asymptotic properties for a generalized Calogero–Bogoyavlenskii–Konopelchenko–Schiff system in a fluid or plasma;The European Physical Journal Plus;2021-09

3. Polarized waveguide excitations in microwave ferrites: The singularity structure analysis;Physica Scripta;2021-07-20

4. Lump, mixed lump-soliton, and periodic lump solutions of a (2+1)-dimensional extended higher-order Broer–Kaup System;Modern Physics Letters B;2020-08-12

5. Nonlocal symmetries and interaction solutions of the (2+1)-dimensional higher order Broer-Kaup system;Acta Physica Sinica;2016