摘要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.
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.
WANG Jun-Mao; ZHANG Miao;ZHANG Wen-Liang;ZHANG Rui;HAN Jia-Hua. A New Method for Constructing Travelling Wave Solutions to the modified Benjamin--Bona--Mahoney Equation[J]. 中国物理快报, 2008, 25(7): 2339-2341.
WANG Jun-Mao, ZHANG Miao, ZHANG Wen-Liang, ZHANG Rui, HAN Jia-Hua. A New Method for Constructing Travelling Wave Solutions to the modified Benjamin--Bona--Mahoney Equation. Chin. Phys. Lett., 2008, 25(7): 2339-2341.
[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
2008, Vol. 25 
