Abstract
In this article, we establish solitary wave solutions to the Estevez-Mansfield-Clarkson (EMC) equation and the coupled sine-Gordon equations which are model equations to analyze the formation of shapes in liquid drops, surfaces of negative constant curvature, etc. through contriving the generalized Kudryashov method. The extracted results introduce several types’ solitary waves, such as the kink soliton, bell-shape soliton, compacton, singular soliton, peakon and other sort of soliton for distinct valuation of the unknown parameters. The achieved analytic solutions are interpreted in details and their 2D and 3D graphs are sketched. The obtained solutions and the physical structures explain the soliton phenomenon and reproduce the dynamic properties of the front of the travelling wave deformation generated in the dispersive media. It shows that the generalized Kudryashov method is powerful, compatible and might be used in further works to found novel solutions for other types of nonlinear evolution equations ascending in physical science and engineering.
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.
