Theses and Dissertations - UTB/UTPA
Date of Award
Master of Science (MS)
Dr. Zhijan Qiao
Dr. Andras Balogh
Dr. Zhaoshang Feng
We study a (2+1)-dimensional generalized Camassa-Holm (2dgCH) equation with both quadratic and cubic nonlinearity. We derive a peaked soliton (peakon) solution and multi-peakon solutions. In particular, the two-peakon dynamical system is explicitly presented and their collisions are investigated in detail. We also find weak kink and kink-peakon interactional solutions. Furthermore, we study all possible smooth one-soliton solutions for the system.
University of Texas-Pan American
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