Interaction patterns and web-structures of resonant solitons of the kadomtsev-petviashvili equation [electronic resource] / Tippabhotla, Anupama. [Tampa, Fla.] : University of South Florida, 2005. eng ABSTRACT: 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. Thesis (M.A.)--University of South Florida, 2005. Includes bibliographical references. Text (Electronic thesis) in PDF format. System requirements: World Wide Web browser and PDF reader. Mode of access: World Wide Web. ABSTRACT: 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. Adviser: Dr.Wen - Xiu Ma. Co-adviser: Dr.Youcheng You The kp equation. Solitons. Interaction patterns. Spider-web-like structures. Levels of intersection.
Interaction patterns and web-structures of resonant solitons of the kadomtsev-petviashvili equation [electronic resource] /
Tippabhotla, Anupama.
[Tampa, Fla.] : University of South Florida,
2005.
eng
ABSTRACT: 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.
Thesis (M.A.)--University of South Florida, 2005.
Includes bibliographical references.
Text (Electronic thesis) in PDF format.
System requirements: World Wide Web browser and PDF reader.
Mode of access: World Wide Web.
ABSTRACT: 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.
Adviser: Dr.Wen - Xiu Ma.
Co-adviser: Dr.Youcheng You
The kp equation.
Solitons.
Interaction patterns.
Spider-web-like structures.
Levels of intersection.