Degree Granting Department
Mathematics and Statistics
Dr.Wen - Xiu Ma.
The kp equation, Solitons, Interaction patterns, Spider-web-like structures, Levels of intersection
In this thesis, the interaction pattern for a class of soliton solutions of the Kadomtsev- Petviashvili (KP) equation is analyzed. The complete asymptotic properties of the soliton solutions for are determined. The resonance characteristic of two sub-classes of the soliton solutions, in which incoming line solitons for interact to form outgoing line solitons for , is described. These two specific sub-classes of -soliton solutions are the following: 1) [(2, 3), (2, 4), (2, 5)], 2) [(3, 2), (3, 3), (3, 4)]. The intermediate solitons and the interaction regions of the above soliton solutions are determined, and their various interaction patterns are explored. Maple and Mathematica are used to get the 3 dimensional plots and contour plots of the soliton solutions to show their interaction patterns. Finally, the spider-web-structures of the discussed solitons of the KP equation are displayed.
Scholar Commons Citation
Tippabhotla, Anupama, "Interaction patterns and web-structures of resonant solitons of the kadomtsev-petviashvili equation" (2005). Graduate Theses and Dissertations.