Abstract
A general variable coefficient (gVC) Burgers equation with linear damping term has been investigated by using simplified homogeneous balance (SHB) method. The generalized Cole–Hopf transformation for the gVC Burgers equation with linear damping term has been derived out if the damping coefficient satisfies a certain constraint condition. By means of the generalized Cole–Hopf transformation, the exact solutions of the gVC Burgers equation with the certain damping term have been obtained successfully. Several concrete examples (included (2+1)-dimensional damping Burgers equation) of gVC Burgers equation with the certain damping term are studied, and their corresponding generalized Cole–Hopf transformations as well as their corresponding solutions are all given, respectively.
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.
