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
Bifurcations of travelling wave solutions in the discrete NLS equations
β Scribed by Dmitry E. Pelinovsky; Vassilis M. Rothos
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 314 KB
- Volume
- 202
- Category
- Article
- ISSN
- 0167-2789
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
In this paper, the (N + 1)-dimensional sine-cosine-Gordon equations are studied. The existence of solitary wave, kink and anti-kink wave, and periodic wave solutions are proved, by using the method of bifurcation theory of dynamical systems. All possible bounded exact explicit parametric representat
We construct exact travelling wave solutions of a discrete reaction~liffusion equation describing a system of coupled bistable elements. The form of the bistable potential is chosen such that in a moving frame the wavefonn satisfies an integrable discrete equation that can be solved explicitly. We a