Abstract
The exact solutions to the Kadomtsev-Petviashvili equation with positive dispersion are analysed to study the interaction between line soliton and y -periodic soliton (i.e. the array of the localized structures in the y direction, which propagates in the x direction). The interactions are classified into several types according to the phase shifts due to collision. There are two types of singular intearctions: one is the resonant interaction that generates one line soliton while the other is the extremely repulsive or long-range interaction where two solitons interchange each other infinitely apart. Both interactions are associated with the parametric points on the boundary between the regions, where the transverse phase shift can occur and that for no transverse phase shift. Detail behaviors of interactions are illustrated graphically and the differences from the singular interactions in other cases are described.
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.
