Mach-type soliton in the Novikov-Veselov equation

dc.contributor.authorJen-Hsu Chang
dc.date.accessioned2019-02-09T08:55:25Z
dc.date.available2019-02-09T08:55:25Z
dc.date.issued2014
dc.description.abstractUsing 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.sponsorshipThe 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.identifier.citationMach-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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 35C08; 35A22
dc.identifier.otherDOI:10.3842/SIGMA.2014.111
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146342
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleMach-type soliton in the Novikov-Veselov equationuk_UA
dc.typeArticleuk_UA

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