The Structures and the Interactions of Soliton in two (2+1)-dimensional KdV-Type Equations

Hang-yu Ruan
2004 Zeitschrift fur Naturforschung A-A Journal of Physical Sciences  
Exact solutions in two (2+1)-dimensional KdV-type (Sawada-Kodera and Boussinesq) equations are presented by using the bilinear method. The N-breather solution, the solution to describe the interaction between a line soliton and a y-periodic soliton, and the solution to express the interaction between two y-periodic solitons are included in our results. Detailed behavior of interactions between a line soliton and a y-periodic soliton for the SK equation and between two y-periodic solitons for
more » ... BS equation are illustrated both analytically and graphically. For these two equations, we only discuss the repulsive interaction keeping the shapes of the soliton unchanged.
doi:10.1515/zna-2004-1-202 fatcat:466wle5lpfgzhd2shayjvulwh4