By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct the exact solutions for nonlinear evolution equations. By this method two generalized Hirota-Satsuma coupled KdV systems are investigated and new exact solutions are explicitly
Bifurcations of traveling wave solutions for the generalized coupled Hirota–Satsuma KdV system
✍ Scribed by Liping Wu; Senfa Chen; Chunping Pang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 767 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The extended homogeneous balance method is used to construct exact traveling wave solutions of a generalized Hirota-Satsuma coupled KdV equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation, respectively. M
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 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
## Communicated by Q Wang By using the method of bifurcation theory of planar dynamical systems to the traveling wave system of the (2+1)-dimensional Boiti-Leon-Pempinelle system, exact explicit parametric representations of the traveling wave solutions are obtained in different parameter regions.