Abstract
The purpose of this paper is to implement a proposed advanced exp(−φ(ξ))-expansion method to find new electrostatic potential functions that describe the nonlinear propagation of ion-acoustic waves in an ideal plasma with degenerate electrons. The KdV equation is obtained for investigating the ion-acoustic waves in such plasmas by using the reductive perturbation method. The exact traveling wave solutions are established for the KdV equation in the form of hyperbolic, trigonometric, exponential, and rational functions with some free parameters. The influence of the electrostatic nonlinear propagation of ion-acoustic waves has been investigated by considering only hyperbolic function solutions of this equation and different values of the ion to Fermi electrons temperature ratio. The results reveal that the proposed expansion method is a standard, effective, and easily applicable mathematical tool with the aid of computer algebra for solving nonlinear evolution equations arising in plasma physics. The obtained new solutions can be helpful in a proper understanding of the features of small but finite amplitude localized electrostatic ion-acoustic solitary waves for astrophysical issues.
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.
