Abstract
A simple solution of the wave equation with two spatial variables having a similarity to the well known splash mode solutions is presented. It depends on two free parameters and describes a localized few-cycle pulse having finite energy. The behavior of the solution is studied both in the vicinity of the focus and at large times and distances. It was found that its real part at all points and at all instants of time is strictly positive. Integral representations for the solutions are derived and an expression for its total energy is found.
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.
