Jacobian elliptic function method and solitary wave solutions for hybrid lattice equation

Communications in Theoretical Physics

Volumn 45, Issue 6, 2006, Pages 1057-1062

  Wang, Rui Min ^a   Dai, Chao Qing ^b   Zhang, Jie Fang ^b  

^a Medical School   (China)

^b ZHEJIANG NORMAL UNIVERSITY   (China)

Author keywords

Extended Jacobian elliptic function expansion approach; Hybrid lattice equation; Jacobian elliptic function solutions; Solitonic solutions; Trigonometric function solutions

Indexed keywords

EID: 33745842209     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/45/6/020     Document Type: Article

References (33)

1. D. Henning and G.P. Tsiconis, Phys. Rep. 307 (1999) 333;
2. O.M. Bcaun and Y.S. Kivshav, Phys. Rep. ibid. 306 (1998) 1;
3. F. Ledever and J.S. Aitchison, Leshouches Workshop on Optical Solitons, eds. V.E. Zakharov and S. Wabnitz, Springer-Verlag, Berlin (1999).
4. D.N. Christodoulides and R.J. Joseph, Opt. Lett. 193 (1988) 794.
5. A.C. Scott and L. Macheil, Phys. Lett. A 98 (1983) 87.
6. A.J. Sievers and S. Takeno, Phys. Rev. Lett. 61 (1988) 970.
7. W.P. Su, J.R. Schrieffer, and A.J. Heeger, Phys. Rev. Lett. 42 (1979) 1698.
8. A.S. Davydov, J. Theor. Biol. 38 (1973) 599.
9. P. Marquii, J.M. Bilbault, and M. Rernoissnet, Phys. Rev. E 51 (1995) 6127.
10. H. Eisenberg, Y. Silberberg, R. Moraudotti, A. Boyd, and J. Aitchison, Phys. Rev. Lett. 81 (1998) 3383.
11. R. Morandotti, U. Peschel, J. Aitchison, H. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83 (1999) 2726.
12. Yu.B. Suris, J. Phys. A: Math. Gen. 30 (1997) 1745.
13. Yu.B. Suris, J. Phys. A: Math. Gen. 30 (1997) 2235.
14. Yu.B. Suris, Rev. Math. Phys. 11 (1999) 727.
15. Yu.B. Suris, Miura Transformations for Toda-type Integrable Systems, with Applications to the Problem of Integrable Discretizations, Sfb288 preprint 367, Department of Mathematics, Technical University Berlin, Berlin, Germany (2001).
16. Yu.B. Suris, "The Problem of Integrable Discretization: Hamiltonian Approach", A skeleton of the book, Sfb288 preprint 479, Department of Mathematics, Technical University Berlin, Berlin, Germany (2002).
17. M.J. Ablowitz and J.F. Ladik, J. Math. Phys. 16 (1975) 598;
18. M.J. Ablowitz and J.F. Ladik, Stud. Appl. Math. 55 (1976) 213.
19. E.G. Fan, J. Phys. A: Math. Gen. 36 (2003) 7009.
20. K. Kajiwara and J. Satsuma, J. Math. Phys. 32 (1991) 506.
21. M.J. Ablowitz and J.F. Ladik, Stud. Appl. Math. 57 (1977) 1.
22. R. Hirota and M. Lwao, "Time-Discretization of Soliton Equation", in: D. Levi and O. Ragnisco, eds., SIDE III-Symmetries and Integrable of Difference Equations, CRM Proc. and Lect. Notes 25, Ams, Providence, Rhode Island (2000) pp. 217-229.
23. C.S. Gardner, J.M. Kruskal, and R.M. Miura, Phys. Rev. Lett. 19 (1967) 1095.
24. H.D. Wahlquist and F.B. Estabrook, Phys. Lett. 31 (1971) 1386.
25. M.L. Wang, Phys. Lett. A 199 (1995) 169.
26. J.F. Zhang, C.L. Zheng, J.P. Meng, and J.P. Fang, Chin. Phys. Lett. 20 (2003) 448.
27. E.G. Fan, Phys. Lett. A 282 (2001) 18.
28. E.G. Parkes, B.R. Duffy, and P.C. Abbott, Phys. Lett. A 295 (2002) 280.
29. X.M. Qian, S.Y. Lou, and X.B. Hu, J. Phys. A: Math. Gen. 37 (2003) 2401.
30. D. Baldwin, Ü. Göktas, and W. Hereman, Comput. Phys. Commun. 162 (2004) 203.
31. Z.Y. Yan, Comput. Phys. Commun. 148 (2002) 30.
32. D.V. Patrick, Elliptic Function and Elliptic Curves, Cambridge University Press, Cambridge (1973).
33. K. Chamdrasekharan, Elliptic Functions, Springer-Verlag, Berlin (1985).