Solitary wave dynamics in an external potential
2004 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 250, no 3, 613-642 p.Article in journal (Refereed) Published
We study the behavior of solitary-wave solutions of some generalized nonlinear Schrodinger equations with an external potential. The equations have the feature that in the absence of the external potential, they have solutions describing inertial motions of stable solitary waves. We consider solutions of the equations with a non-vanishing external potential corresponding to initial conditions close to one of these solitary wave solutions and show that, over a large interval of time, they describe a solitary wave whose center of mass motion is a solution of Newton's equations of motion for a point particle in the given external potential, up to small corrections corresponding to radiation damping.
Place, publisher, year, edition, pages
2004. Vol. 250, no 3, 613-642 p.
nonlinear schrodinger-equations, scalar field-equations, positive radial solutions, stability theory, nonintegrable equations, elliptic equation, hartree equation, ground-states, existence, uniqueness
IdentifiersURN: urn:nbn:se:kth:diva-23841DOI: 10.1007/s00220-004-1128-1ISI: 000224734000005ScopusID: 2-s2.0-7244229514OAI: oai:DiVA.org:kth-23841DiVA: diva2:342540
QC 20100525 QC 201109222010-08-102010-08-102011-09-22Bibliographically approved