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
Bifurcations of travelling wave solutions for the generalized Kadomtsev–Petviashili equation
✍ Scribed by Jibin Li; Hong Li; Shumin Li
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 449 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0960-0779
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✦ Synopsis
By using the theory of bifurcations of dynamical systems to the generalized Kadomtsev-Petviashili equation, the existence of solitary wave solutions and uncountably infinite many smooth and non-smooth periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given.
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