New exact solutions to MKDV-Burgers equation and (2 + 1)-dimensional dispersive long wave equation via extended Riccati equation method

Chaos, Solitons and Fractals

Volumn 39, Issue 2, 2009, Pages 697-706

  Kong, Cuicui ^a   Wang, Dan ^a   Song, Lina ^a   Zhang, Hongqing ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION (WAVES); RICCATI EQUATIONS; WAVE EQUATIONS;

BURGERS EQUATIONS; DISPERSIVE LONG-WAVE EQUATIONS; EXACT SOLUTION; NEW EXACT SOLUTIONS; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; RATIONAL EXPANSION METHOD; SYMBOLIC COMPUTATION;

NONLINEAR EQUATIONS;

EID: 62549122061     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.01.083     Document Type: Article

References (47)

1. Ablowitz M.J., and Clarkson P.A. Soliton, nonlinear evolution equations and inverse scattering (1991), Cambridge University Press, New York
2. Hirota R. Phys Rev Lett 27 (1971) 1192
3. Boiti M., et al. Inverse Probl 2 (1986) 271
4. Wadati M. J Phys Soc Jpn 32 (1972) 1681
5. Wadati M. J Phys Soc Jpn 34 (1972) 1280
6. Weiss J., Tabor M., and Carnevale G. J Math Phys 24 (1983) 552
7. Weiss J. J Math Phys 24 (1983) 1405
8. Matveev V.B., and Salle M.A. Darboux transformation and soliton (1991), Spinger, Berlin
9. Lou S.Y. J Math Phys 35 (1994) 2336
10. Parkes E.J., and Duffy B.R. Comput Phys Commun 98 (1996) 288
11. Parkes E.J., and Duffy B.R. Phys Lett A 229 (1997) 217
12. Fan E.G. Phys Lett A 277 (2000) 212
13. Fan E.G. Chaos, Solitons & Fractals 15 (2003) 567
14. Fan E.G., and Hon Y.C. Z Naturforsch A 57 (2002) 692
15. Fan E.G. Phys Lett A 294 (2002) 26
16. Yan Z.Y., and Zhang H.Q. Appl Math Mech 21 (2000) 342
17. Yan Z.Y. Phys Lett A 292 (2001) 100
18. Liu S.K., Fu Z.T., Liu S.D., and Zhao Q. Phys Lett A 289 (2001) 69
19. Fu Z.T., et al. Phys Lett A 290 (2001) 72
20. Fan E.G., and Hon Y.C. Phys Lett A 292 (2002) 335
21. Yan Z.Y. Chaos, Solitons & Fractals 15 (2003) 575
22. Yan Z.Y. Chaos, Solitons & Fractals 18 (2003) 299
23. He J.H., and Wu X.H. Chaos, Solitons & Fractals 30 3 (2006) 700
24. He J.H., et al. New periodic solutions for nonlinear evolution equations using Exp-function method. Chaos, Solitons & Fractals 34 (2007) 1421
25. Chen Y., and Wang Q. Chaos, Solitons & Fractals 23 (2005) 801
26. Wang Q., Chen Y., and Zhang H.Q. Phys Lett A 340 (2005) 411
27. Wang Q., Chen Y., and Zhang H.Q. Chaos, Solitons & Fractals 25 (2005) 1019
28. Chen Y., Wang Q., and Li B. Chaos, Solitons & Fractals 26 (2005) 231
29. Wang Q., Chen Y., Li B., and Zhang H.Q. Commun Theor Phys 43 (2005) 769
30. Wang M.L. Phys Lett A 216 (1996) 67
31. Wang M.L., Wang Y.M., and Zhou Y.B. Phys Lett A 303 (2002) 45
32. Conte R., and Musette M. J Phys A 25 (1992) 5609
33. Yan Z.Y. Chaos, Solitons & Fractals 16 (2003) 759
34. Chen Y., and Li B. Chaos, Solitons & Fractals 19 (2004) 977
35. Wang Q., Chen Y., Li B., and Zhang H.Q. Commun Theor Phys 41 (2004) 821
36. Wang M.L., and Li Z.B. Phys Lett A 213 (1996) 279
37. Fan E.G. Phys Lett A 282 (2001) 18
38. Cârstea A.S., and Grecu D. Phys Lett A 246 (1998) 82
39. Emmanuel Y. Phys Lett A 336 (2005) 463
40. Wu W.J. Polynomial equations-solving and its applications, algorithms and computation (1994), Springer-Verlag, Berlin
41. Boiti P., Leon J.J.P., Manna M., and Pempinelli F. Inverse Probl 3 (1987) 1205
42. Paquin G., and Winternitz P. Physica D 46 (1990) 122
43. Lou S.Y. J Phys A 27 (1994) 3235
44. Lou S.Y. Math Meth Appl Sci 18 (1995) 789
45. Lou S.Y. Phys Lett A 176 (1993) 9
46. Tang X.Y., Chen C.L., and Lou S.Y. J Phys A 35 (2002) L293
47. Tang X.Y., and Lou S.Y. Chaos, Solitons & Fractals 14 (2002) 1451