Article ID Journal Published Year Pages File Type
838815 Nonlinear Analysis: Real World Applications 2009 7 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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