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Bifurcations of travelling wave solutions for the Gilson–Pickering equation

✍ Scribed by Aiyong Chen; Wentao Huang; Shengqiang Tang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
816 KB
Volume
10
Category
Article
ISSN
1468-1218

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✦ Synopsis

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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