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Long time motion of NLS solitary waves in a confining potential
KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.ORCID iD: 0000-0001-7269-5241
2006 (English)In: Annales de l'Institute Henri Poincare. Physique theorique, ISSN 1424-0637, E-ISSN 1424-0661, Vol. 7, no 4, 621-660 p.Article in journal (Refereed) Published
Abstract [en]

We study the motion of solitary-wave solutions of a family of focusing generalized nonlinear Schrodinger equations with a confining, slowly varying external potential, V(x). A Lyapunov-Schmidt decomposition of the solution combined with energy estimates allows us to control the motion of the solitary wave over a long, but finite, time interval. We show that the center of mass of the solitary wave follows a trajectory close to that of a Newtonian point particle in the external potential V(x) over a long time interval.

Place, publisher, year, edition, pages
2006. Vol. 7, no 4, 621-660 p.
Keyword [en]
nonlinear schrodinger-equations, scalar field-equations, asymptotic stability, ground-states, nontopological solitons, nonintegrable equations, dissipative systems, energy propagation, smoothing property, hartree equation
URN: urn:nbn:se:kth:diva-15756DOI: 10.1007/s00023-006-0263-yISI: 000238339100002ScopusID: 2-s2.0-33745186457OAI: diva2:333798
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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Jonsson, B. Lars G.
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