𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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


New exact solutions for two generalized
✍ Huiqun Zhang 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 156 KB

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

On soliton solutions for a generalized H
✍ A.S. Abdel Rady; E.S. Osman; Mohammed Khalfallah 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 229 KB

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

Bifurcation of travelling wave solutions
✍ Zhaojuan Wang; Shengqiang Tang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 729 KB

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 solution
✍ Aiyong Chen; Wentao Huang; Shengqiang Tang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 816 KB

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 and parametric representati
✍ Jibin Li; Yi Zhang 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 268 KB

## 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.