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

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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 http://hdl.handle.net/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

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