Kummer solitons in strongly nonlocal nonlinear media
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We solve the three-dimensional (3D) time-dependent strongly nonlocal nonlinear Schrdinger 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 can exist in various forms, such as the 3D vortex solitons and the multipole solitons. 2008 Elsevier B.V. All rights reserved.
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Zhong, Wei-Ping||Belić, Milivoj
Physics Letters A: General Physics, Nonlinear Science, Statistical Physics, Atomic, Molecular and Cluster Physics, Plasma and Fluid Physics, Condensed Matter, Cross-disciplinary Physics, Biological Physics, Nanosciences, Quantum Physics Journal