The extended first kind elliptic sub-equation method and its application to the generalized reaction Duffing model

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 344, Issue 2-4, 2005, Pages 229-237

  Huang, Ding Jiang ^a   Zhang, Hong Qing ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Extended first kind elliptic sub equation method; Generalized reaction Duffing model; Nonlinear wave equation; Solitary wave solution; Triangular periodic wave solution

Indexed keywords

ORDINARY DIFFERENTIAL EQUATIONS; SOLITONS; WAVE EQUATIONS;

DUFFING MODEL; EXTENDED FIRST KIND ELLIPTIC SUB-EQUATION METHOD; NONLINEAR WAVE EQUATION; SOLI-TARY WAVE SOLUTIONS; TRIANGULAR PERIODIC WAVE SOLUTIONS;

NONLINEAR EQUATIONS;

EID: 24044500035     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.06.070     Document Type: Article

References (40)

1. M.J. Ablowitz, and P.A. Clarkson Solitons, Nonlinear Evolution Equations and Inverse Scattering 1991 Cambridge Univ. Press Cambridge
2. V.B. Matveev, and M.A. Salle Darboux Transformation and Solitons 1991 Springer Berlin
3. C.H. Gu, H.S. Hu, and Z.X. Zhou Darboux Transformations in Soliton Theory and its Geometric Applications 1999 Shanghai Sci. Technol. Shanghai
4. C. Rogers, and W.K. Schief Bäcklund and Darboux Transformations, Geometry and Modern Applications in Soliton Theory 2002 Cambridge Univ. Press Cambridge
5. M. Wadati J. Phys Soc. Jpn. 38 1975 673
6. R. Hirota, and J. Satsuma Phys. Lett. A 85 1981 407
7. P.J. Olver Applications of Lie Groups to Differential Equations 1993 Springer New York
8. G.W. Bluman, and S. Kumei Symmetries and Differential Equations 1989 Springer Berlin
9. C.T. Yan Phys. Lett. A 224 1996 77
10. Z.Y. Yan, and H.Q. Zhang Acta Phys. Sinica 48 1999 1 (in Chinese)
11. Z.T. Fu Phys. Lett. A 299 2002 507
12. W. Hereman Comput. Phys. Commun. 65 1996 143
13. E.J. Parkes, and B.R. Duffy Comput. Phys. Commun. 98 1996 288
14. Z.B. Li, and Y.P. Liu Comput. Phys. Commun. 148 2002 256
15. W.X. Ma Int. J. Non-Linear Mech. 31 1996 329
16. E.G. Fan Phys. Lett. A 277 2000 212
17. Z.Y. Yan, and H.Q. Zhang Phys. Lett. A 292 2001 100
18. F.D. Xie, Y. Zhang, and Z.S. Lü Chaos Solitons Fractals 24 2005 257
19. Sirendaoreji, and J. Sun Phys. Lett. A 309 2003 387
20. E. Yomba Chaos Solitons Fractals 20 2004 1135
21. E. Yomba Chaos Solitons Fractals 21 2004 75
22. E. Yomba Chaos Solitons Fractals 22 2004 321
23. E.G. Fan J. Phys. A 35 2002 6853
24. E.G. Fan, and Y.C. Hon Chaos Solitons Fractals 15 2003 559
25. E. Yomba Phys. Lett. A 336 2005 463
26. Y.Z. Peng Chin. J. Phys. 41 2003 103
27. Y.Z. Peng Phys. Lett. A 314 2003 401
28. E. Yomba Chaos Solitons Fractals 21 2004 209
29. Y.B. Zhou, M.L. Wang, and Y.M. Wang Phys. Lett. A 308 2003 31
30. J.B. Liu, L. Yang, and K.Q. Yang Chaos Solitons Fractals 20 2004 1157
31. Y.B. Zhou, M.L. Wang, and T.D. Miao Phys. Lett. A 323 2004 77
32. Z.T. Fu Phys. Lett. A 325 2004 363
33. H.T. Chen, and H.Q. Zhang Chaos Solitons Fractals 20 2003 765
34. B. Tian, and Y.T. Gao Z. Naturforsch. A 57 2002 39
35. F.D. Xie, and X.S. Gao Chaos Solitons Fractals 19 2004 1113
36. C.C. Hua, and Q.S. Lu Appl. Math. Mech. 21 2000 1024
37. Z.S. Feng Phys. Lett. A 293 2002 50
38. W.G. Zhang, Q.S. Chang, and E.G. Fan J. Math. Anal. Appl. 287 2003 1
39. W.T. Wu Algorithms and Computation 1994 Springer Berlin
40. R.K. Dodd Solitons and Nonlinear Wave Equations 1982 Academic Press London