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Mach-type soliton in the Novikov-Veselov equation

Vernadsky National Library of Ukraine

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Title Mach-type soliton in the Novikov-Veselov equation
 
Creator Jen-Hsu Chang
 
Description Using the reality condition of the solutions, one constructs the Mach-type soliton of the Novikov-Veselov equation by the minor-summation formula of the Pfaffian. We study the evolution of the Mach-type soliton and find that the amplitude of the Mach stem wave is less than two times of the one of the incident wave. It is shown that the length of the Mach stem wave is linear with time. One discusses the relations with V-shape initial value wave for different critical values of Miles parameter.
 
Date 2019-02-09T08:55:25Z
2019-02-09T08:55:25Z
2014
 
Type Article
 
Identifier Mach-type soliton in the Novikov-Veselov equation/ Jen-Hsu Chang // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 31 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 35C08; 35A22
DOI:10.3842/SIGMA.2014.111
http://dspace.nbuv.gov.ua/handle/123456789/146342
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України