#### Filter Results:

- Full text PDF available (5)

#### Publication Year

1999

2015

- This year (0)
- Last 5 years (6)
- Last 10 years (13)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Yoshua Bengio, Thomas Mesnard, Asja Fischer, Saizheng Zhang, Yuhai Wu
- ArXiv
- 2015

- Xun Liu, Lixin Tian, Yuhai Wu
- Applied Mathematics and Computation
- 2010

- Xun Liu, Lixin Tian, Yuhai Wu
- 2010

We apply the theory of Weierstrass elliptic function to study exact solutions of the generalized Benjamin-Bona-Mahony equation. By using the theory of Weierstrass elliptic integration, we get some traveling wave solutions, which are expressed by the hyperbolic functions and trigonometric functions. This method is effective to find exact solutions of many… (More)

- Yuhai Wu, Yongxi Gao, Maoan Han
- I. J. Bifurcation and Chaos
- 2008

This paper is concerned with the number and distributions of limit cycles in a Z2-equivariant quintic planar vector field. By applying qualitative analysis method of differential equation, we find that 28 limit cycles with four different configurations appear in this special planar polynomial system. It is concluded that H(5) ≥ 28 = 5 + 3, where H(5) is the… (More)

The generalized Camassa-Holm equation ut + 2kux − uxxt + auux = 2uxuxx + uuxxx + γuxxx is considered in this paper. Under traveling wave variable substitution, the equation is related to a planar singular system. By making a transformation this singular system becomes a regular system. Through discussing the dynamical behavior of the regular system, the… (More)

- Xun Liu, Lixin Tian, Yuhai Wu
- Applied Mathematics and Computation
- 2012

Under the traveling wave transformation, Fornberg-Whitham equation is reduced to an ordinary differential equation whose general solution can be obtained using the factorization technique. Furthermore, we apply the change of the variable and complete discrimination system for polynomial to solve the corresponding integrals and obtain the classification of… (More)