Abstract
In this paper, we obtain new dark and bright soliton solutions of the generalized nonlinear Schrödinger equation that describes the ultrashort pulses propagate through a nonlinear medium. Using a traveling wave ansatz, the nonlinear Schrödinger equation is transformed into two nonlinear ordinary differential equations. These two ordinary differential equations are proved to be equivalent under certain conditions. And the solutions of these equations are obtained through a direct reduction to a first order ordinary differential equation with well-known solutions. The obtained solutions are in the form of Jacobi elliptic functions that degenerate to dark and bright soliton solutions. The new soliton solutions obtained in this paper can assist us with understanding the propagation of solitons through a nonlinear medium.
Sign-in/Register to access full text options 
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.
