An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations

Computer Physics Communications

Volumn 98, Issue 3, 1996, Pages 288-300

  Parkes, E J ^a   Duffy, B R ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

Mathematica; Nonlinear evolution equations; Solitary waves

Indexed keywords

ALGEBRA; COMPUTER SOFTWARE; FUNCTIONS; SOLITONS;

EVOLUTION EQUATIONS; MATHEMATICA PACKAGE ATFM;

NONLINEAR EQUATIONS;

EID: 0030284901     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/0010-4655(96)00104-X     Document Type: Article

References (31)

1. P.G. Drazin and R.S. Johnson, Solitons: An Introduction (Cambridge Univ. Press, Cambridge, 1989).
2. W. Hereman, A. Korpel and P.P. Banerjee, Wave Motion 7 (1985) 283.
3. W. Hereman, P.P. Banerjee, A. Korpel, G. Assanto, A. Van Immerzeele and A. Meerpoel, J. Phys. A: Math. Gen. 19 (1986) 607.
4. W. Hereman and M. Takaoka, J. Phys. A: Math. Gen. 23 (1990) 4805.
5. M.W. Coffey, SIAM J. Appl. Math. 50 (1990) 1580.
6. H. Lan and K. Wang, J. Phys. A: Math. Gen. 23 (1990) 3923.
7. S. Lou, G. Huang and H. Ruan, J. Phys. A: Math. Gen. 24 (1991) L587.
8. W. Malfliet, Am. J. Phys. 60 (1992) 650.
9. B. Tian and Y.T. Gao, Mod. Phys. Lett. A 10 (1995) 2937.
10. S. Watanabe, J. Phys. Soc. Jpn 53 (1984) 950.
11. T. Kawahara, J. Phys. Soc. Jpn 33 (1972) 260.
12. J.K. Hunter and J. Scheurle, Physica D 32 (1988) 253.
13. X. Dai and J. Dai, Phys. Lett. A 142 (1989) 367.
14. Y. Yamamoto and E.I. Takizawa, J. Phys. Soc. Jpn 50 (1981) 1421.
15. N.A. Kudryashov, J. Appl. Math. Mech. 54 (1990) 372.
16. N.A. Kudryashov, Phys. Lett. A 155 (1991) 269.
17. Y. Yamamoto and E.I. Takizawa, J. Phys. Soc. Jpn 50 (1981) 1055.
18. N.A. Kudryashov, J. Appl. Math. Mech. 52 (1988) 361.
19. N.A. Kudryashov, Phys. Lett. A 147 (1990) 287.
20. A.P. Hooper and R. Grimshaw, Phys. Fluids 28 (1985) 37.
21. R. Conte and M. Musette, J. Phys. A: Math. Gen. 22 (1989) 169.
22. Y. Kuramoto and T. Tsuzuki, Prog. Theor. Phys. 55 (1976) 356.
23. H. Aspe and M.C. Depassier, Phys. Rev. A 41 (1990) 3125.
24. A.V. Porubov, J. Phys. A: Math. Gen. 26 (1993) L797.
25. P.J. Caudrey, R.K. Dodd and J.D. Gibbon, Proc. Roy. Soc. A 351 (1976) 407.
26. K. Sawada and T. Kotera, Prog. Theor. Phys. 51 (1974) 1355.
27. D.J. Kaup, Stud. Appl. Math. 62 (1980) 189.
28. M. Ito, J. Phys. Soc. Jpn 49 (1980) 771.
29. S. Kichenassamy and P.J. Olver, SIAM J. Math. Anal. 23 (1992) 1141.
30. X.Y. Wang, Phys. Lett. A 131 (1988) 277.
31. B.R. Duffy and E.J. Parkes, Phys. Lett. A 214 (1996) 271.