Discrete tanh method for nonlinear difference-differential equations

Computer Physics Communications

Volumn 180, Issue 7, 2009, Pages 1104-1108

  Wang, Zhen ^a,b  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Auxiliary equation; Difference differential equation; Exact solution

Indexed keywords

ALGEBRAIC METHOD; AUXILIARY EQUATION; DIFFERENCE-DIFFERENTIAL EQUATION; EXACT SOLUTION; HYPERBOLIC FUNCTIONS; NONLINEAR DIFFERENCE-DIFFERENTIAL EQUATIONS; PERIODIC SOLUTION; RATIONAL SOLUTION; SOLITON SOLUTIONS; TANH METHOD; TRIGONOMETRIC FUNCTIONS;

FUNCTION EVALUATION; NONLINEAR EQUATIONS; SOLITONS;

DIFFERENCE EQUATIONS;

EID: 67349249989     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2009.01.010     Document Type: Article

References (20)

1. Ablowitz M.J., and Clarkson P.A. Nonlinear Evolution Equations and Inverse Scattering (1991), Cambridge University Press, Cambridge
2. Toda M. Nonlinear Waves and Solitons (1989), Kluwer Academic Publishers, Holland
3. Toda M. Theory of Nonlinear Lattices (1981), Springer-Verlag, Berlin
4. Kevrekidis P.G., Rasmussen K.O., and Bishop A.R. Int. J. Mod. Phys. B 15 (2001) 2833-2900
5. Tsuchida T., Ujino H., and Wadati M. J. Phys. A: Math. Gen. 32 (1999) 2239-2262
6. Hirota R. The Direct Method in Soliton Theory (2004), Cambridge University Press, Cambridge (Edited and translated by Atsushi Nagai)
7. Qian X.M., Lou S.Y., and Hu X.B. J. Phys. A: Math. Gen. 37 (2004) 2401-2411
8. Ma W.X., and Geng X.G. CRM Proc. Lecture Notes vol. 29 (2001) 313-323
9. Ma W.X., and Fuchssteiner B. Int. J. Non-linear Mech. 31 (1996) 329-338
10. Fan E.G. Phys. Lett. A 277 (2000) 212-218
11. Baldwin D., Göktas U., and Hereman W. Comput. Phys. Comm. 162 (2004) 203-217
12. Xie F.D., and Wang J.Q. Chaos, Solitons & Fractals 27 (2006) 1067-1071
13. Dai C.Q., and Zhang J.F. Chaos, Solitons & Fractals 27 (2006) 1042-1047
14. Dai C.Q., Yang Q., and Zhang J.F. Z. Naturforsch. A 59 (2004) 635-639
15. Ma Z.Y., Hu Y.H., and Lan J.C. Chaos, Solitons & Fractals 36 (2008) 303-308
16. Ma W.X., Wu H.Y., and He J.S. Phys. Lett. A 364 (2007) 29-32
17. Yan Z.Y. Non. Anal. Theo. Meth. Appl. 64 8 (2006) 1798-1811
18. Hirota R., and Iwao M. Time-discretization of soliton equations. In: Grabmeier J., Kaltofen E., and Weispfenning V. (Eds). SIDE III-Symmetries and Integrability of Difference Equations. CRM Proc. Lecture Notes vol. 25 (2000), Amer. Math. Soc., Providence, RI 217-229
19. Xie F.D., Ji M., and Zhao H. Chaos, Solitons & Fractals 33 (2007) 1791-1795
20. Lai X.J., and Zhang J.F. Z. Naturforsch A 60 (2005) 573-582