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Title: | Filamentary Structures of the Cosmic Web and the Nonlinear Schrödinger Type Equation | Authors: | Tığrak, Esra Van De Weygaert, R. Jones, B. J. T. |
Keywords: | Nonlinear equations Schrödinger equation Analytical solution Filamentary structures Hirota direct method |
Publisher: | IOP Publishing Ltd. | Source: | Tığrak, E., Van De Weygaert, R., and Jones, B. J. T. (2011). Filamentary structures of the cosmic web and the nonlinear Schrödinger type equation. Journal of Physics: Conference Series, 283(1). doi:10.1088/1742-6596/283/1/012039 | Abstract: | We show that the filamentary type structures of the cosmic web can be modeled as solitonic waves by solving the reaction diffusion system which is the hydrodynamical analogous of the nonlinear Schrödinger type equation. We find the analytical solution of this system by applying the Hirota direct method which produces the dissipative soliton solutions to formulate the dynamical evolution of the nonlinear structure formation. | Description: | 14th Conference on "Recent Developments in Gravity", NEB-14; Ioannina; Greece; 8 June 2010 through 11 June 2010 | URI: | http://doi.org/10.1088/1742-6596/283/1/012039 http://hdl.handle.net/11147/5034 |
ISSN: | 1742-6588 1742-6596 |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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