Abstract
We solve the three-dimensional (3D) time-dependent strongly nonlocal nonlinear Schrödinger 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.
Original language | English |
---|---|
Pages (from-to) | 296-298 |
Number of pages | 3 |
Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
Volume | 373 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jan 2009 |
Externally published | Yes |
Keywords
- Nonlocal
- Schrödinger equation
- Solitons