Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633985 | Applied Mathematics and Computation | 2008 | 9 Pages |
Abstract
The (1Â +Â 1)-dimensional Broer-Kaup system, which describes the propagation of shallow water waves, is extended to a generalized (2Â +Â 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 (2Â +Â 1)-dimensional simplified generalized Broer-Kaup (GBK) system (BÂ =Â 0). Abundant new localized excitations can be found by selecting appropriate functions. After that, we consider the conditions of (BÂ â Â 0) to the GBK, and several new results are obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Dianchen Lu, Baojian Hong,