Abstract

Exact periodic solitary wave solutions for the ( 2 + 1 ) -dimensional Boussinesq equation are obtained by using the extended ansätz function method. Detailed behavior of the propagation of the periodic solitary wave solutions for the ( 2 + 1 ) -dimensional Boussinesq equation is illustrated by using the method of figure analysis. The result shows that it is entirely possible for the ( 2 + 1 ) -dimensional integrable equations or non-integrable equations that there exist periodic solitary waves in the different direction. The propagation of the periodic solitary waves is actually phase shifts of solitons, and the amplitudes of non-singular periodic solitary waves depend on frequency and wave number of periodic wave.

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 call

Disclaimer: 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.