Theses and Dissertations - UTB/UTPA
Date of Award
Master of Science (MS)
Dr. Zhaosheng Feng
Dr. Andras Balogh
Dr. Cristina Villalobos
In this thesis, we study the Two-Dimensional Burgers-Korteweg-de Vries (2D-BKdV) equation by analyzing the equivalent Abel equation, which indicates that under some particular conditions, the 2D-BKdV equation has a unique bounded traveling wave solution. By using the theorem of contractive mapping, a traveling wave solution to the 2D-BKdV equation is expressed explicitly. In the end, the behavior of the proper solution of the 2D-BKdV equation is established by applying the comparison theorem of differential equations.
University of Texas-Pan American
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