Interaction Patterns and Web-Structures of Resonant Solitons of the Kadomtsev-Petviashvili Equation
In this thesis, the interaction pattern for a class of soliton solutions of the Kadomtsev- Petviashvili (KP) equation (−4ut + uxxx + 6uux )x + 3uyy = 0 is analyzed. The complete asymptotic properties of the soliton solutions for y → ±∞ are determined. The resonance characteristic of two sub-classes...
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| Format: | Others |
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Scholar Commons
2005
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| Online Access: | https://scholarcommons.usf.edu/etd/886 https://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=1885&context=etd |