| Original Articles |
|
|
|
|
A New Method for Constructing Travelling Wave Solutions to the modified Benjamin--Bona--Mahoney Equation |
| WANG Jun-Mao, ZHANG Miao, ZHANG Wen-Liang, ZHANG Rui, HAN Jia-Hua |
| School of Physics and Material Science, Anhui University, Hefei 230039 |
|
| Cite this article: |
|
WANG Jun-Mao, ZHANG Miao, ZHANG Wen-Liang et al 2008 Chin. Phys. Lett. 25 2339-2341 |
|
|
|
|
Abstract We present a new method to find the exact travelling wave solutions of nonlinear evolution equations, with the aid of the symbolic computation. Based on this method, we successfully solve the modified Benjamin--Bona--Mahoney equation, and obtain some new solutions which can be expressed by trigonometric functions and hyperbolic functions. It is shown that the proposed method is direct, effective and can be used for many other nonlinear evolution equations in mathematical physics.
|
| Keywords:
02.70.-c
03.65.Ge
05.45.Yv
|
|
|
Received: 21 March 2008
Published: 26 June 2008
|
|
| PACS: |
02.70.-c
|
(Computational techniques; simulations)
|
| |
03.65.Ge
|
(Solutions of wave equations: bound states)
|
| |
05.45.Yv
|
(Solitons)
|
|
|
|
|
|
[1] Wang M L 1995 Phys. Lett. A 199 169
[2] Fan E G and Zhang H Q 1998 Acta Phys. Sin. 47 353(in Chinese)
[3] Fan E G 2000 Acta Phys. Sin. 49 1409 (in Chinese)
[4] Parkes E J and Duffy B R 1997 Phys. Lett. A 229 217
[5] Li D S and Zhang H Q 2003 Acta Phys. Sin. 52 1569(in Chinese)
[6] Zhu J M 2005 Chin. Phys. 14 1290
[7] Yan C T 1996 Phys. Lett. A 224 77
[8] Liu S K, Fu Z T, Liu S D and Zhao Q 2001 Acta Phys. Sin. 50 2068 (in Chinese)
[9] Liu S K, Fu Z T, Liu S D and Zhao Q 2001 Acta Phys. Sin. 51 10 (in Chinese)
[10] Sirendaoreji and Taogetusang 2004 Acta Phys. Sin. 53 4052 (in Chinese)
[11] Sirendaoreji 2006 Chin. Phys. 15 1143 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
