A new riccati equation rational expansion method and its application

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

Volumn 60, Issue 1-2, 2005, Pages 1-6

  Chen, Yong ^a,b,c   Wang, Qi ^c,d  

^a NINGBO UNIVERSITY   (China)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

^c INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^d DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Rational Form Solitary Wave Solutions; Riccati Equation Rational Expansion Method; Travelling Wave Solution

Indexed keywords

EID: 14944375654     PISSN: 09320784     EISSN: None     Source Type: Journal    
DOI: 10.1515/zna-2005-1-201     Document Type: Article

References (34)

1. M. J. Ablowitz and P. A. Clarkson, Soliton, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, New York 1991.
2. V. B. Matveev and M. A. Salle, Darboux Transformation and Solitons, Springer, Berlin 1991.
3. Y. Chen, Z. Y. Yan, and H. Q. Zhang, Theor. Math. Phys. 132, 970 (2002). Y. Chen, B. Li, and H. Q. Zhang, Commun. Theor. Phys. 39, 135 (2003). Y. Chen, B. Li, and H.Q. Zhang, Chaos, Solitons and Fractals 17, 693 (2003). B. Li, Y. Chen, and H. Q. Zhang, Phys. Lett. A 305, 377 (2002). B. Li, Y. Chen, and H. Q. Zhang, Z. Naturforsch. 58a, 464 (2003).
4. Y. Chen, Z. Y. Yan, and H. Q. Zhang, Theor. Math. Phys. 132, 970 (2002). Y. Chen, B. Li, and H. Q. Zhang, Commun. Theor. Phys. 39, 135 (2003). Y. Chen, B. Li, and H.Q. Zhang, Chaos, Solitons and Fractals 17, 693 (2003). B. Li, Y. Chen, and H. Q. Zhang, Phys. Lett. A 305, 377 (2002). B. Li, Y. Chen, and H. Q. Zhang, Z. Naturforsch. 58a, 464 (2003).
5. Y. Chen, Z. Y. Yan, and H. Q. Zhang, Theor. Math. Phys. 132, 970 (2002). Y. Chen, B. Li, and H. Q. Zhang, Commun. Theor. Phys. 39, 135 (2003). Y. Chen, B. Li, and H.Q. Zhang, Chaos, Solitons and Fractals 17, 693 (2003). B. Li, Y. Chen, and H. Q. Zhang, Phys. Lett. A 305, 377 (2002). B. Li, Y. Chen, and H. Q. Zhang, Z. Naturforsch. 58a, 464 (2003).
6. Y. Chen, Z. Y. Yan, and H. Q. Zhang, Theor. Math. Phys. 132, 970 (2002). Y. Chen, B. Li, and H. Q. Zhang, Commun. Theor. Phys. 39, 135 (2003). Y. Chen, B. Li, and H.Q. Zhang, Chaos, Solitons and Fractals 17, 693 (2003). B. Li, Y. Chen, and H. Q. Zhang, Phys. Lett. A 305, 377 (2002). B. Li, Y. Chen, and H. Q. Zhang, Z. Naturforsch. 58a, 464 (2003).
7. Y. Chen, Z. Y. Yan, and H. Q. Zhang, Theor. Math. Phys. 132, 970 (2002). Y. Chen, B. Li, and H. Q. Zhang, Commun. Theor. Phys. 39, 135 (2003). Y. Chen, B. Li, and H.Q. Zhang, Chaos, Solitons and Fractals 17, 693 (2003). B. Li, Y. Chen, and H. Q. Zhang, Phys. Lett. A 305, 377 (2002). B. Li, Y. Chen, and H. Q. Zhang, Z. Naturforsch. 58a, 464 (2003).
8. S. Y. Lou and J. Z. Lu, J. Phys. A 29, 4029 (1996). S. Y. Lou, Phys. Lett. A 277, 94 (2000).
9. S. Y. Lou and J. Z. Lu, J. Phys. A 29, 4029 (1996). S. Y. Lou, Phys. Lett. A 277, 94 (2000).
10. R. Hirta and J. Satsuma, Phys. Lett. A 85, 407 (1981).
11. E. J. Parkes and B. R. Duffy, Comput. Phys. Commun. 98, 288 (1996). E. J. Parkes and B. R. Duffy, Phys. Lett. A 229, 217 (1997).
12. E. J. Parkes and B. R. Duffy, Comput. Phys. Commun. 98, 288 (1996). E. J. Parkes and B. R. Duffy, Phys. Lett. A 229, 217 (1997).
13. W. Hereman, Comput. Phys. Commun. 65, 143 (1991).
14. E. Fan, Phys. Lett. A 277, 212 (2000). E. Fan, Comput. Math. Appl. 43, 671 (2002).
15. E. Fan, Phys. Lett. A 277, 212 (2000). E. Fan, Comput. Math. Appl. 43, 671 (2002).
16. Z. Y. Yan, Comput. Phys. Commun. 153, 145 (2003). Z. Y. Yan and H. Q. Zhang, Phys. Lett. A 285, 355 (2001).
17. Z. Y. Yan, Comput. Phys. Commun. 153, 145 (2003). Z. Y. Yan and H. Q. Zhang, Phys. Lett. A 285, 355 (2001).
18. Y. Chen, B. Li, and H. Q. Zhang, Int. J. Mod. Phys. C 13, 99 (2003). Y. Chen, Z. Y. Yan, and H. Q. Zhang, Phys. Lett. A 307, 107 (2003).
19. Y. Chen, B. Li, and H. Q. Zhang, Int. J. Mod. Phys. C 13, 99 (2003). Y. Chen, Z. Y. Yan, and H. Q. Zhang, Phys. Lett. A 307, 107 (2003).
20. B. Li, Y. Chen, and H. Q. Zhang, J. Phys. A: Math. Gen. 35, 8253 (2002). B. Li, Y. Chen, and H. Q. Zhang, Z. Naturforsch. 57a, 874 (2002). B. Li, Y. Chen, and H. Q. Zhang, Appl. Math. Comput. 146, 653 (2003).
21. B. Li, Y. Chen, and H. Q. Zhang, J. Phys. A: Math. Gen. 35, 8253 (2002). B. Li, Y. Chen, and H. Q. Zhang, Z. Naturforsch. 57a, 874 (2002). B. Li, Y. Chen, and H. Q. Zhang, Appl. Math. Comput. 146, 653 (2003).
22. B. Li, Y. Chen, and H. Q. Zhang, J. Phys. A: Math. Gen. 35, 8253 (2002). B. Li, Y. Chen, and H. Q. Zhang, Z. Naturforsch. 57a, 874 (2002). B. Li, Y. Chen, and H. Q. Zhang, Appl. Math. Comput. 146, 653 (2003).
23. R. Conet and M. Musette, J. Phys. A: Math. Gen. 25, 5609 (1992).
24. Z. Y. Yan, Chaos, Solitons and Fractals 16, 759 (2003).
25. Y. Chen and B. Li, Chaos, Solitons and Fractals 19, 977 (2004). Q. Wang, Y. Chen, and H. Q. Zhang, Commun. Theor. Phys. (Beijing, China) 41L, 821 (2004).
26. Y. Chen and B. Li, Chaos, Solitons and Fractals 19, 977 (2004). Q. Wang, Y. Chen, and H. Q. Zhang, Commun. Theor. Phys. (Beijing, China) 41L, 821 (2004).
27. G. B. Whitham, Proc. R. Soc. London Sect. A 299, 6 (1967).
28. L. T. F. Broer, Appl. Sci. Res. 31, 377 (1957).
29. B. A. Kuperschmidt, Commun. Math. Phys. 99, 51 (1985).
30. J. F. Zhang, Acta Phys. Sin. 47, 1416 (1998) (in Chinese).
31. Z. Y. Yan and H. Q. Zhang, Acta Phys. Sin. 48, 1962 (1999) (in Chinese).
32. Y. Chen and Y. Zheng, Int. J. Mod. Phys. C 14, 1 (2003).
33. Q. Wang, Y. Chen, B. Li, and H. Q. Zhang, Appl. Math. Comput. 160, 77 (2005).
34. W. Wu, Algorithms and Computation, Springer, Berlin 1994, p. 1.