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Bifurcations of travelling wave solutions for Jaulent-Miodek equations

✍ Scribed by Da-he Feng; Ji-bin Li


Publisher
Springer
Year
2007
Tongue
English
Weight
485 KB
Volume
28
Category
Article
ISSN
0253-4827

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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 so

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a b s t r a c t By using the bifurcation theory of planar dynamical systems to the generalized ZK equations, the existence of smooth and non-smooth travelling wave solutions is proved. Under different regions of parametric spaces, various sufficient conditions to guarantee the existence of above sol