Abstract
ABSTRACT In this paper, we construct new breather wave and rogue wave solutions for the (2+1)-dimensional nonlinear Schrödinger equation (NLS) with variable coefficients by using similarity transformations. The similarity transformation helps us to relate certain class of rogue wave and breather wave solutions of the (2+1)-dimensional NLS equation to the solutions of integrable NLS equation with variable coefficients. Moreover, the new rational solutions to the equation with potentials and nonlinearities depending on both spatial and time coordinates are considered. Finally, the dynamics of the new rational solutions is graphically discussed. It is interesting that the new rational solutions can describe interactions of line rogue waves (or breather wave) and periodic line waves.
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.
