Time evolution of the scattering data for a fourth-order linear differential operator

Aktosun, T; Papanicolaou, VG

dc.contributor.author	Aktosun, T	en
dc.contributor.author	Papanicolaou, VG	en
dc.date.accessioned	2014-03-01T01:29:21Z
dc.date.available	2014-03-01T01:29:21Z
dc.date.issued	2008	en
dc.identifier.issn	0266-5611	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19243
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Physics, Mathematical	en
dc.title	Time evolution of the scattering data for a fourth-order linear differential operator	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/0266-5611/24/5/055013	en
heal.identifier.secondary	http://dx.doi.org/10.1088/0266-5611/24/5/055013	en
heal.identifier.secondary	055013	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	The time evolution of the scattering and spectral data is obtained for the differential operator d(4)/dx(4) + d/dx u( x,t)d/dx + v( x, t), where u( x, t) and v(x,t) are real-valued potentials decaying exponentially as x -> +/-infinity at each fixed t. The result is relevant in a crucial step of the inverse scattering transform method that is used in solving the initial-value problem for a pair of coupled nonlinear partial differential equations satisfied by u( x, t) and v( x, t).	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Inverse Problems	en
dc.identifier.doi	10.1088/0266-5611/24/5/055013	en
dc.identifier.isi	ISI:000259479400013	en
dc.identifier.volume	24	en
dc.identifier.issue	5	en