Abstract
Localized and periodic solutions for the nonlinear Schrödinger equation with spatially modulated nonlinearity are found. A linear stability analysis corroborated by direct numerical simulation reveals that the regions of stability of these solutions can be controlled by tuning the values of real and imaginary parts of the linear refractive index modulation profile as well as by tuning the real part of nonlinearly modulated spatial distribution. In particular, the role played by the competing gain and loss parameter as well as by the parameter of periodic spatial distribution towards the magnitude of the stability domains is reported.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
Disclaimer: 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.