Journal
PHYSICS LETTERS A
Volume 373, Issue 2, Pages 296-298Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2008.11.033
Keywords
Solitons; Nonlocal; Schrodinger equation
Categories
Funding
- National Science Foundation of China [2006CB921605]
- Science Research Foundation of Shunde College, China
- Qatar National Research Foundation [NPRP 25-6-7-2]
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We solve the three-dimensional (3D) time-dependent strongly nonlocal nonlinear Schrodinger equation (NNSE) in spherical coordinates. with the help, of Kummer's functions. We obtain analytical solitary solutions, which we term the Kummer solitons. We compare analytical Solutions with the numerical solutions of NNSE. We discuss higher-order Kummer spatial solitons, which call exist in various forms, such as the 3D vortex solitons and the multipole solitons. (C) 2008 Elsevier B.V. All rights reserved.
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