Mach-type soliton in the Novikov-Veselov equation
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 th...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2014 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146342 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862583718708772864 |
|---|---|
| author | Jen-Hsu Chang |
| author_facet | Jen-Hsu Chang |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-11-27T00:42:59Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146342 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T00:42:59Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Jen-Hsu Chang 2019-02-09T08:55:25Z 2019-02-09T08:55:25Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/146342 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Mach-type soliton in the Novikov-Veselov equation Article published earlier |
| spellingShingle | Mach-type soliton in the Novikov-Veselov equation Jen-Hsu Chang |
| title | Mach-type soliton in the Novikov-Veselov equation |
| title_full | Mach-type soliton in the Novikov-Veselov equation |
| title_fullStr | Mach-type soliton in the Novikov-Veselov equation |
| title_full_unstemmed | Mach-type soliton in the Novikov-Veselov equation |
| title_short | Mach-type soliton in the Novikov-Veselov equation |
| title_sort | mach-type soliton in the novikov-veselov equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146342 |
| work_keys_str_mv | AT jenhsuchang machtypesolitoninthenovikovveselovequation |