Solving Method for the Single-Kink Soliton Solution to a Disturbed Coupled Burgers System
YAO Jing-Su1**, CHEN Li-Hua2, WEN Zhao-Hui3, MO Jia-Qi1,4**
1Department of Mathematics, Anhui Normal University, Wuhu 241003 2Department of Mathematics and Computer Science, Fuqing Branch of Fujian Normal University, Fuqing 350300 3Institute of Applied Mathematics, School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030 4Faculty of Science, Huzhou Teacher College, Huzhou 313000
Solving Method for the Single-Kink Soliton Solution to a Disturbed Coupled Burgers System
YAO Jing-Su1**, CHEN Li-Hua2, WEN Zhao-Hui3, MO Jia-Qi1,4**
1Department of Mathematics, Anhui Normal University, Wuhu 241003 2Department of Mathematics and Computer Science, Fuqing Branch of Fujian Normal University, Fuqing 350300 3Institute of Applied Mathematics, School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030 4Faculty of Science, Huzhou Teacher College, Huzhou 313000
Abstract:We study a class of disturbed coupled Burgers systems. The approximate single-kink soliton solution is obtained by using the asymptotic method.
YAO Jing-Su**;CHEN Li-Hua;WEN Zhao-Hui;MO Jia-Qi;**. Solving Method for the Single-Kink Soliton Solution to a Disturbed Coupled Burgers System[J]. 中国物理快报, 2011, 28(8): 80201-080201.
YAO Jing-Su**, CHEN Li-Hua, WEN Zhao-Hui, MO Jia-Qi, **. Solving Method for the Single-Kink Soliton Solution to a Disturbed Coupled Burgers System. Chin. Phys. Lett., 2011, 28(8): 80201-080201.
[1] Wang M L 1995 Phys. Lett. A 199 169
[2] Fan E G 2000 Acta Phys. Sin. 49 1409 (in Chinese)
[3] Parkes E J and Duffy B R 1996 Comput. Phys. Commun. 98 288
[4] Liu S D, Fu Z T, Liu S K and Zhao Q 2002 Acta Phys. Sin. 51 718 (in Chinese)
[5] Wu g J, Han J H, Shi L M and Zhang M 2006 Acta Phys. Sin. 55 3858 (in Chinese)
[6] Li X Z, Li X Y, Zhao L Y and Zhang J L 2008 Acta Phys. Sin. 57 2203 (in Chinese)
[7] Wang M L, Li X Z nd Zhang J L 2008 Phys. Lett . A
[8] Zhen Y B, Wang M L and Miao T D 2004 Phys. Lett. A 323 77
[9] Hirota R 2004 The Direct Method in Soliton Theory (Cambridge: Cambridge University)
[10] Wu J P 2010 Commun. Theor. Phys. 53 812
[11] Zuo J M and Zhang Y M 2011 Chin. Phys. B 20 010205
[12] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[13] Mo J Q 2009 Chin. Phys. Lett. 26 060202
[14] Mo J Q 2010 Commun. Theor. Phys. 53 440
[15] Mo J Q, Lin Y H and Lin W T 2010 Chin. Phys. B 19 030202
[16] Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method (New York: CRC)
[17] Pao C V 1992 Nonlinear Parabolic Elliptic Equations (New York: Plenum)
[18] Barbu L and Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauserm Verlag AG)