A New Integrable Hierarchy, Parametric Solutions and Traveling Wave Solutions
β Scribed by Zhijun Qiao; Shengtai Li
- Publisher
- Springer Netherlands
- Year
- 2004
- Tongue
- English
- Weight
- 260 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1385-0172
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π SIMILAR VOLUMES
## 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.
For a competitive PDE system, we study the existence, uniqueness, and asymptotic behaviors of the traveling wave solutions connecting a monoculture equilibrium to a co-existence equilibrium. We use the method of upper-lower solutions to prove the existence of traveling wave solutions, and investigat