Mach-type soliton in the Novikov-Veselov equation

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік
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dc.contributor.author	Jen-Hsu Chang
dc.date.accessioned	2019-02-09T08:55:25Z
dc.date.available	2019-02-09T08:55:25Z
dc.date.issued	2014
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 35C08; 35A22
dc.identifier.other	DOI:10.3842/SIGMA.2014.111
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146342
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	The author thanks the referees for their valuable suggestions. This work is supported in part by the National Science Council of Taiwan under Grant No. NSC 102-2115-M-606-001.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Mach-type soliton in the Novikov-Veselov equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA