Article ID Journal Published Year Pages File Type
4633985 Applied Mathematics and Computation 2008 9 Pages PDF
Abstract
The (1 + 1)-dimensional Broer-Kaup system, which describes the propagation of shallow water waves, is extended to a generalized (2 + 1)-dimensional model with Painleve property. In this paper, based on the general variable separation approach and two extended Riccati equations, we first find several new families of exact soliton-like solutions and periodic-like wave solutions with arbitrary functions for the (2 + 1)-dimensional simplified generalized Broer-Kaup (GBK) system (B = 0). Abundant new localized excitations can be found by selecting appropriate functions. After that, we consider the conditions of (B ≠ 0) to the GBK, and several new results are obtained.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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