Abstract
We report on the localized spatial soliton excitations in the multidimensional nonlinear Schrödinger equation with radially variable nonlinearity coefficient and an external potential. By using Hirota's binary differential operators, we determine a variety of external potentials and nonlinearity coefficients that can support nonlinear localized solutions of different but desired forms. For some specific external potentials and nonlinearity coefficients, we discuss features of the corresponding (2+1)-dimensional multisolitonic solutions, including ring solitons, lump solitons, and soliton clusters.
Original language | English |
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Pages (from-to) | 127-132 |
Number of pages | 6 |
Journal | Communications in Theoretical Physics |
Volume | 57 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2012 |
Externally published | Yes |
Keywords
- Hirota binary operator
- nonlinear localized excitation
- soliton