Abstract
A generalized Hirota–Satsuma coupled KdV equation, which can describe the interactions of two long waves with different dispersion relations, is studied in this paper. Using the Hirota direct method, its bilinear form is firstly obtained, and secondly its N-soliton solutions are found. Finally, the collisions between two solitons are proved to be elastic via performing the asymptotic analysis. Some graphs are given to illustrate that the two-soliton collisions do not change any physical quantities except small phase shifts.
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.
