Abstract
In this paper, division theorem is employed for obtaining the first integral with polynomial coefficients of two-dimensional autonomous planar system, which can construct the periodic and solitary wave solutions of nonlinear partial differential equations by using the solutions of the Riccati equation. The power of this manageable method is presented by applying it to some nonlinear Schrödinger-like equations. This approach can also be applied to other nonlinear differential equations.
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.
