Abstract
Oscillating solutions are known to exist for the (1+1)-dimensional non-linear Schrodinger equations (NLSE) with Kerr non-linearity and for (3+1)-dimensional and (2+1)-dimensional NLSE with saturable non-linearity. In them, there is an interplay between the amplitude and the widths of the solutions. Using the variational method, we show that non-linear Schrodinger equations with Kerr non-linearity support breather-like solutions in the form of oscillating spatiotemporal pulses and beams but unlike the cases mentioned above, the oscillating behaviour takes place between the widths, with the amplitude kept almost constant. For the space–time NLSE these solutions exist only in a medium with anomalous dispersion.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
