On the N-Solitons Solutions in the Novikov-Veselov Equation

Домашня сторінка
→
Фізико-технічні та математичні науки
→
Відділення математики
→
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
→
Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
→
Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік
→
Переглянути статтю

dc.contributor.author	Chang, J.-H.
dc.date.accessioned	2019-02-19T18:45:34Z
dc.date.available	2019-02-19T18:45:34Z
dc.date.issued	2013
dc.identifier.citation	On the N-Solitons Solutions in the Novikov-Veselov Equation / J.-H. Chang // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 41 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 35C08; 35A22
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.006
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149211
dc.description.abstract	We construct the N-solitons solution in the Novikov-Veselov equation from the extended Moutard transformation and the Pfaffian structure. Also, the corresponding wave functions are obtained explicitly. As a result, the property characterizing the N-solitons wave function is proved using the Pfaffian expansion. This property corresponding to the discrete scattering data for N-solitons solution is obtained in [arXiv:0912.2155] from the ∂¯¯¯-dressing method.	uk_UA
dc.description.sponsorship	This work is supported in part by the National Science Council of Taiwan under Grant No. 100-2115-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	On the N-Solitons Solutions in the Novikov-Veselov Equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA