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On the multi-spin magnon and spike solutions from membranes

2007/08/31 by P. Bozhilov, R. C. Rashkov
Chemistry · Physics and Astronomy · #Black Holes and Theoretical Physics #Chemistry #Class (philosophy) #Computer science #Condensed matter physics #Ferromagnetism #Integrable system #Magnon #Mathematical physics #Membrane #Nonlinear Waves and Solitons #Physics #Quantum many-body systems #Spike (software development) #Spin (aerodynamics) #Spins #String (physics) #String theory #Theoretical physics #Thermodynamics #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2007.10.004

published as Nucl.Phys.B794:429-441,2008 · LaTeX, 14 pages, no figures; v2: references added; v3: to appear in Nucl. Phys. B

arxiv created 2007/10/04 · openalex publication_date 2007/10/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Recently important classes of solitonic string solutions were obtained - giant magnons and single spikes. In previous study we showed the existence of giant magnon-like membrane solutions and studied their properties. In this paper we investigate classical rotating membranes representing analog of a specific class of string spiky solutions. Using the reduction to the Neumann-Rosochatius integrable system we find analog of the string single spike solutions. In contrast to the magnon-like solutions, this case is characterized with finite difference of energy and ``winding number'' and finite spins as well.

Citations