A new expansion method of first order nonlinear ordinary differential equation with at most a sixth-degree nonlinear term and its application to mBBM model

Chinese Physics B

Volumn 17, Issue 2, 2008, Pages 399-402

  Pan, Jun Ting ^a   Gong, Lun Xun ^a  

^a GUIZHOU NORMAL UNIVERSITY   (China)

Author keywords

Exact solutions; MBBM model; New expansion method; Nonlinear evolution equations

Indexed keywords

ALGEBRA; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; NUMERICAL METHODS; PROBLEM SOLVING;

EXACT SOLUTIONS; MBBM MODELS; NEW EXPANSION METHOD; NONLINEAR EVOLUTION EQUATIONS;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 43649083207     PISSN: 16741056     EISSN: None     Source Type: Journal    
DOI: 10.1088/1674-1056/17/2/008     Document Type: Article

References (41)

1. Gardner C S, Greene J M, Kruskal M D and Miura R M 1967 Phys. Rev. Lett. 19 1095
2. Wahlquist H D and Estabrook F B 1973 Phys. Rev. Lett. 31 1386
3. Hirota R 1971 Phys. Rev. Lett. 27 1192
4. Lou S Y 1998 Phys. Rev. Lett. 80 5027
5. Lou S Y, Lin J and Yu J 1995 Phys. Lett. A 201 47
6. Tian B and Gao Y T 1995 Phys. Lett. A 209 297
7. Yang L, Liu J B and Yang K Q 2001 Phys. Lett. A 278 267
8. Lou S Y 1998 Acta Phys. Sin. 47 1937 (in Chinese)
9. Yan C T 1996 Phys. Lett. A 224 77
10. Yan Z Y and Zhang H Q 1999 Acta Phys. Sin. 48 1962 (in Chinese)
11. Wang M L 1995 Phys. Lett. A 199 169
12. Zhang J L, Wang Y M, Wang M L and Fang Z D 2003 Chin. Phys. 12 245
13. Fan E G and Zhang H Q 1998 Acta Phys. Sin. 47 353 (in Chinese)
14. Fan E G 2000 Acta Phys. Sin. 49 1409 (in Chinese)
15. Parkes E J and Duffy B R 1997 Phys. Lett. A 119 217
16. Liu S K, Fu Z T, Liu S D and Zhao Q 2001 Phys. Lett. A 289 69
17. Fu Z T, Liu S K, Liu S D and Zhao Q 2001 Phys. Lett. A 290 72
18. Liu S K, Fu Z T, Liu S D and Zhao Q 2001 Acta Phys. Sin. 50 2068 (in Chinese)
19. Liu S K, Fu Z T, Liu S D and Zhao Q 2002 Acta Phys. Sin. 51 10 (in Chinese)
20. Liu S D, Fu Z T, Liu S K and Zhao Q 2002 Acta Phys. Sin. 51 718 (in Chinese)
21. Liu S K, Fu Z T, Liu S D and Zhao Q 2002 Acta Phys. Sin. 51 1923 (in Chinese)
22. Wang M L and Zhou Y B 2003 Phys. Lett. A 318 84
23. Wang M L, Wang Y M and Zhang J L 2003 Chin. Phys. 12 1341
24. Zhang J L, Ren D F, Wang M L, Wang Y M and Fang Z D 2003 Chin. Phys. 12 825
25. Shi Y R, Guo P, Lü K P and Duan W S 2004 Acta Phys. Sin. 53 3265 (in Chinese)
26. Li B A and Wang M L 2005 Chin. Phys. 14 1698
27. He H S, Chen J and Yang K Q 2005 Chin. Phys. 14 1926
28. Fan E G 2002 J. Phys. A 35 6853
29. Fan E G 2003 Chaos Solitons Fractals 16 819
30. Huang D J and Zhang H Q 2005 Phys. Lett. A 344 229
31. Huang D J and Zhang H Q 2006 Rep. Math. Phys. 57 257
32. Huang D J and Zhang H Q 2006 Chaos Solitons Fractals 29 928
33. Taogetusang and Sirendaoreji 2006 Chin. Phys. 15 1143
34. Zhu J M, Ma Z Y, Fang J P, Zheng C L and Zhang J F 2004 Chin. Phys. 13 798
35. Peng Y Z 2005 Commun. Theor. Phys. 43 205
36. Liu Y P and Li Z B 2003 Chin. Phys. Lett. 20 317
37. Liu S K and Liu S D 2000 Nonlinear Equations in Physics (Beijing: Peking University Press) (in Chinese)
38. Liu S K, Chen H, Fu Z T and Liu S D 2003 Acta Phys. Sin. 52 1842 (in Chinese)
39. Liu S K, Fu Z T, Liu S D and Wang Z G 2004 Chaos Solitons Fractals 19 795
40. Taogetusang and Sirendaoreji 2004 Acta Phys. Sin. 53 4052 (in Chinese)
41. Lü D Z 2005 Acta Phys. Sin. 54 4501 (in Chinese)