Wide Localized Solitons in Systems with Time and Space-Modulated Nonlinearities
arXiv:1206.0034 · doi:10.1103/PhysRevE.86.026605
Abstract
In this work we apply point canonical transformations to solve some classes of nonautonomous nonlinear Schrödinger equation namely, those which possess specific cubic and quintic - time and space dependent - nonlinearities. In this way we generalize some procedures recently published which resort to an ansatz to the wavefunction and recover a time and space independent nonlinear equation which can be solved explicitly. The method applied here allow us to find wide localized (in space) soliton solutions to the nonautonomous nonlinear Schrödinger equation, which were not presented before. We also generalize the external potential which traps the system and the nonlinearities terms.
19 pages, 5 figures
References in corpus (7)
- Solitons in nonlinear lattices
- Tuning the scattering length with an optically induced Feshbach resonance
- Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
- Localized nonlinear waves in systems with time- and space-modulated nonlinearities
- Solitons with Cubic and Quintic Nonlinearities Modulated in Space and Time
- Fermion localization on a split brane
- Non-polynomial potentials with deformable topological structures