科研之友
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摘要
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 not equal 0) to the GBK, and several new results are obtained.
