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
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Creator |
Jen-Hsu Chang
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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.
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Date |
2019-02-09T08:55:25Z
2019-02-09T08:55:25Z 2014 |
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Type |
Article
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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 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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