Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838815 | Nonlinear Analysis: Real World Applications | 2009 | 7 Pages |
Abstract
In this paper, the qualitative behavior and exact travelling wave solutions of the Gilson–Pickering equation are studied by using the qualitative theory of polynomial differential system. The phase portraits of the system are given under different parametric conditions. Some exact travelling wave solutions of the Gilson–Pickering equation are obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of smooth and non-smooth travelling wave solutions are given.
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Authors
Aiyong Chen, Wentao Huang, Shengqiang Tang,