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Nonlinear Schrödinger Solitons with non-zero velocities emerging from real symmetric initial conditions
University of Borås, School of Engineering.
2009 (English)Conference paper, (Refereed)
Abstract [en]

Solutions of the nonlinear Schrodinger equation for initial conditions in the form of two separated sech-shaped in-phase pulsed,; are analyzed. It is found that; this initial condition, with appropriate amplitude, may give rise to, not; only stationary solitons, but also to symmetrically separating solitons, if the initial distance of separation is large enough. The condition for the generation of a separating soliton pair is derived from the Zakharov-Shabat eigenvalue problem using a variational approach.

Place, publisher, year, edition, pages
American Institute of Physics , 2009.
Keyword [en]
zakhariv-shabat, variational methods, eigenvalue problem
Keyword [sv]
Matematik och teoretisk fysik
National Category
Other Physics Topics
Identifiers
URN: urn:nbn:se:hb:diva-6151Local ID: 2320/5021ISBN: 978-0-7354-0643-8 (print)OAI: oai:DiVA.org:hb-6151DiVA: diva2:886835
Conference
MMWP08 - The third International Conference on Mathematical Modelling of Wave Phenomena, June 9-13, 2008, Växjö University, Sweden
Available from: 2015-12-22 Created: 2015-12-22 Last updated: 2017-05-02Bibliographically approved

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