Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631648 | Applied Mathematics and Computation | 2010 | 13 Pages |
Abstract
As a model derived from a two-layer fluid system which describes the atmospheric and oceanic phenomena, a coupled variable-coefficient modified Korteweg–de Vries system is concerned in this paper. With the help of symbolic computation, its integrability in the Painlevé sense is investigated. Furthermore, Hirota’s bilinear method is employed to construct the bilinear forms through the dependent variable transformations, and soliton-like solutions and complexitons are derived. Finally, effects of variable coefficients are discussed graphically, and it is concluded that the variable coefficients control the propagation trajectories of solitons and complexitons.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shun-Hui Zhu, Yi-Tian Gao, Xin Yu, Zhi-Yuan Sun, Xiao-Ling Gai, De-Xin Meng,